First off will be your choice of leather- some smooth leather wraps feel sort of spongy and are definitely going to add a thickness feeling to your cue handle area. You will have to discuss this with Proficient. Second, they will very often have to cut a linen wrap area channel a bit more shallow just to make the leather wrap flush with the rest of the cue butt above and below the leather wrap. Third, your choice of a leather wrap when going from linen will also depend on how slick or tacky you want that leather wrap to feel in your hand - some leather wraps are much more slick feeling than others.
As folks have mentioned here, your discussion is really not here, but with the installer and Proficient has enough leather wrap install experience to guide you as to your desires. They will charge extra if your needs dictate a further cut into the wrap channel of that cue butt -- he may say that he cannot judge whether to cut into the channel area until he has the cue in hand. - in which case perhaps clarify both price points up front with him- with or without a channel cut.
In many cases, leather wraps are, in fact a bit thicker than linen wraps- bc whenever a customer wants to go from leather to linen ( opposite of your desires) Proficient will say that he may have to do a build up under the new linen wrap to make it flush with the rest of the cue butt.