I mean if you have a choice in the matter and all other things are equal, clearly you don't. But it turns out not all surgeries are elective, many are emergent

I mean if you have a choice in the matter and all other things are equal, clearly you don't. But it turns out not all surgeries are elective, many are emergent and even for the elective ones, surgical experience is not evenly distributed so making it so that some people have a smaller selection of surgeons to chose from is less likely to lead to good health outcomes for that section of the population.