That is "methylene blue". It helps to see the sites made on recipient. It is also used on donor area from time to time, specially on patients with white hair.
It disappears during the 1st days of the post-op process.
I am also same boat as you. I had same concern as you and i have spoken to Dr Pradeep Sethi and Dr Arika Bansal both.
They have assured me they do get involved in 50 % of surgery by themselves, designing and making all the slits, and remaining 50 %, extraction and plantation is done by other doctors and technician and i think this the case with all the surgeons. I haven't had surgery with them myself but i am in process of finalizing with my HT surgeon. Well having said that i am in process of finalizing my surgeon since last 15 years.
It is life changing decision so one has to think carefully.