Last time I had a different anesthetist than the one I saw before. But I was happy because I did not have affinity with the one I met and the one I had was very welcoming and kind. Which is a really good trait for the person that is responsible to supplant your vital functions for some hours.
Or maybe something more important came up just prior. Ultimately people have the learn and have a go at some point - with your attitude they would be no more doctors.
The nominal surgeon usually does the “heart” of the procedure: replacing your ACL, removing a tumor, etc. Their assistants just get you into/out of the state where that happens.
Surely you don’t expect the surgeon to personally do everything related to the case, right? Wash the drapes, prep the instruments?