I think you will have to re zero anyway.
It depends. One of my rifles has its receiver top surfaces and holes just right. The bases I use on it are in very good alignment. As a result when I switch scopes things are not going into and out of a bind when tightening/loosening the ring attachment mechanisms. One day I used three scopes, a different one for each shot and the resulting group was small and where it should have been.
You only know for sure by testing.
