At this point of the breed, dogs with Cherry Eye are not being taken out of programs, although it is hereditary.
To be honest in my opinion there are WAY more important issues to be worked out in the Corso before we start removing dogs with Cherry eye.
We have bigger issues with type, temperament, health and stability, cherry eye is relatively minor in the grande scheme of things. At this point of the game, some may not agree and that is okay, but seeing a consistent type in the breed as opposed to 3 or 4 different ones should be a priority.
Hopefully as the breed progresses then issues such as these can be slowly bred out.
The AKC allows dogs to be shown after surgery.
Many CC breeders will be upfront about it. Knowing a pups parent had Cherry eye would not deter me from getting a pup if it was what I was looking for and from lines that I wanted, but I am pretty picky about what I want and am looking for. That said I have been fortunate in the fact that I have never had to deal with it, nor have any of the dogs in my dogs direct lines... that I am aware of