although only class 2, i had keratoncus and needed to have an operation on both eyes (CXL).
CAA were happy for my AME to deal with the whole thing. I was grounded for a period (3 months) until things had settled down but after than it was not problem at all.
i would definitely check the linkin previous post to see what the additional (if any) implications are for class 1, but once you know what the ophthalmologist is recommending then I would highly recommend consulting a local AME who should be able to help.