I went back to the optometrist for a follow-up. This doctor did not see that I had REC (recurrent corneal erosion). I suggested it was IFCE (infrequent corneal erosion), but he said that the technical term was OIAW (once in a while). I am to continue with the ointment, as well as some more viscous eye drops.
The doctor hopes that the treatment will stop me from having any further attacks. Of course, we won't really be sure for months...I'll believe it once I've been fine for half a year.