That's NOT true. The surgeon is the most important part of the procedure just like all surgeries. Most complications occur while creating the flap (they cut the front of your cornea), and a skilled surgeon will do it without any issues. However, inexperienced surgeon sometimes cut the flap too thin, or cut a hole in the middle of the flap, etc. Then you are in a lot of trouble.

Skilled surgeon also knows how to react to complications during surgery. The experience of the surgeon is very important - just like all surgeries, definitely don't ignore this variable