People seem to obsess about circumcision styles these days as if style choice was some sort of fashion statement.
These really used to be a consequence of the technique and tool used to circumcise someone, but especially people cut as adults want to specify exactly how it looks afterwards. This may be possible for a free hand circumcision, or for some style an appropriate clamp method can be selected that gives the desired result.
Bear in mind that it is more important to take care of the basics, before making a fashion statement. A proper circumcision should leave the glans bare and completely uncovered at all times. This should take precedent over almost all other aspects, except the need to leave enough skin to allow a full erection without discomfort.
Also, if you are getting circumcised to correct some medical condition fixing the problem and taking care of your health is more important than getting the preferred "style".
The scar line usually can be placed based on the patient's choice, unless you are getting cut for a medical condition in which case the condition may limit what can be done. For example if some inflammation has already ruined your inner foreskin, or you have severe adhesions your only option may be to get a low cut (cut line placed close to the glans).
People seem to worry too much and even obsess about how it is going to reduce sensitivity, but in reality there is very little correlation between how satisfied someone is with his circumcision and the pleasure of circumcised sex and how low the cut is.
So long as there is nothing extreme that would e.g. destroy the sulcus, you should be fine.
If you actually prefer a low cut in most cases your doctor should be able to accommodate it, although most will not go to extremes (all inner skin removed including the sulcus and shaft skin stitched to the glans, for example).
If you are already circumcised and getting a revision there may be limitations (e.g. I wanted a lower cut, but at the time of the revision I did not have enough shaft skin to cover the length of my penis so I ended up with more of a medium).
If your skin is healthy you can have a high cut (cut line placed on the shaft, further away from the glans). The other extreme would be to remove most of the shaft skin and have the entire penis covered in inner foreskin. While it may be possible it looks really weird.
Most people who want a high cut go for a two toner with the cut line mid shaft, which should be fine so long as it is also reasonably tight.
Tightness is also an important aspect. Some people who are cut for medical reasons prefer a loose cut so as to preserve how their uncut penis was functioning. In most cases it should be possible, although it may not be the best choice on the long run.
The main advantage of a loose cut is that there is skin movement so things tend to work the same way as on an uncut penis. If one is particularly dependent on moving the skin on the shaft for pleasure a somewhat loose cut is probably a better option.
The disadvantages are that the loose skin can either bunch up behind the glans or even partially cover it, thus it may not be esthetically the best. Also it can create enclosed areas so some of the hygiene benefits of a circumcision can be lost if a cut is overly loose.
People who choose to get circumcised for cultural / aesthetic / hygiene/ etc. reasons usually request a tight cut.
The main disadvantage of a tight cut is that it reduces skin movement, a really tight cut only allows minimal skin movement thus is it not possible to pump the skin on the shaft and some men want that sensation.
The advantages are that the tight skin is more sensitive, other sensitive areas such as the sulcus and the rim of the glans are more exposed and because of the tension they may feel more sensitive which can enhance pleasure. Also a tight cut does not allow enclosed spaces thus one can fully enjoy the health and hygiene benefits of circumcision. Also many prefer how a tight cut looks.
So it is no surprise that many people specifically ask for their circumcision to be as tight as possible.
This is where problems can start. Some insist on "drum tight" and no movable skin and other extremes. The problem is that penile skin is kind of movable. It is reasonable expectation that e.g. it should not be possible to pull the remaining skin over the head (should not even go over the rim), in fact it should be a requirement for a properly done circumcision. But at one point there is just enough skin left to stretch enough to accommodate an erection comfortably. That is more or less how a reasonable tight cut should look like. Mine is like that, the skin is smooth even when still flaccid but it can stretch enough that during an erection it feels just right.
What happens if your doctor removes more skin? Well, it does not so much get tighter (skin still will be movable) but your pubes and your ball sack will be dragged up the shaft. Some may find it appealing, but it really will just cause discomfort and not really result in any tighter skin, so it is not the best idea to do that. This is also why sometimes people think their dick got smaller after a circumcision, if pubes are being dragged up the shaft they sort of hide the base of the penis so it visually appears shorter.
So get as tight a cut as you like, with as little skin movement as your doctor can manage, but you should have enough skin to accommodate the full length of your erect penis. Removing more skin is not going to feel tighter, it is just going to look like excessive skin removal.
If you have a shower penis you can choose any style you want. A grower is more difficult because it will look different when it is shrunken and when it is erect. Some doctors claim that they cannot do a circumcision on a grower unless they leave so much skin that it basically covers part of the head when flaccid. Some people like the extra slack, so I guess it is all right to do that if the patient is OK with it. But it is possible to have a grower and no coverage. Usually lower and tighter cuts tend not to roll over the head when flaccid, so a low (or at least medium) and reasonably tight cut should not cover the head even when flaccid. Enough skin has to be left to accommodate a full erection comfortably, but that is about it, no need to leave more skin than that unless the patient really wants some slack.
There is one other somewhat divisive question: if the frenulum should be kept or removed. My opinion is that it should always be removed, but some guys want to keep it. That may be possible, especially with a higher cut, but sometimes in an attempt to keep it doctors try to lengthen it or detach part of it and then suture it again, etc. resulting in all sorts of problems, one of which is turning the frenulum into an insensitive lump of skin. Also some results when there is a biggish piece dangling on the underside of the glans does not look all that good, and it may not provide the best sensitivity. Trimming off the banjo string smooth, flush against the glans and skin gives a good cosmetic result, prevents further problems from a tight frenulum and it does not destroy the innervation of the area, so the loss of sensitivity is minimal.
