Someone who only does FUE better have top-notch facilities that behave as if they did FUT for the sake of the preservation and preparation of grafts. The microscopes used for dissecting grafts are a crucial investment for any HT practice worth their salt, and often a neglected tool by FUE exclusive practitioners.
Also, a doctor who refuses to learn FUT limits their abilities to undergo diverse cases with the best possible alternate methods needed. FUE is not always appropriate. A doctor unwilling to acknowledge that may see every case as a nail for their proverbial hammer.
Doctors who mentored with great doctors have an advantage as well, Gabel mentored with Konior in the US, for example, both do FUT and FUE and are considered elite at both. They also occasionally refer patients to one another because of the trust and respect they have for each other's skill.
Who a doctor trained under is as important as where they went to medical school.
In conclusion, go to elite surgeons, elite surgeons that do both FUT and FUE at an elite level.