As a frequent surgeon, I disagree with this idea. It takes a player out of the round and leaves them staring at a mostly black screen for pretty much no reason, despite the possibility that they may be there for quite a while if they need several long surgeries, which Is quite common (think IB, heart, and ribcage repair, a very common combination.)
Also, surgeons may get dragged off somewhere (they're the target of an assasination, bomb explosion, etc) and then the poor patient has to wait a potentially very long time until someone saves them.
I'm all for increasing the level of RP, but I don't think this is the way to do it, especially not when we've literally got an all-access fridge full of medicine that people shove down their throats despite not being doctors.