I’d be interested to know why the CAA would have told you that correction is only possible with contact lens and glasses. Are you positive that’s what was said?
The EASA regs are fairly clear. Vision corrected to 6/6 of correction is used. They don’t stipulate how you attain that correction. I have keratoconus and achieve 6/6 in both eyes separately (in fact slightly better) with glasses only.
I’d check with them again and check the regs too. Good luck!