Gosh, I'd never heard of that. Dylan had conjunctivitis early last year, had drops for a couple of months which didn't help a lot, and he now has dry eye. So I give him Optimmune drops twice a day to help promote his tears (he knows the times and sits of the sofa waiting for it to be done, bless him). The vet did mention the operation you have been offered, but we both agreed it was a sledgehammer to crack a nut as the drops are working. He did say it wasn't always a successful procedure.
Poor Molly, hope you find a solution.
PS - the Optimmune is ?76 for a 2mg tube 😱, lasts about a month,thank goodness he's insured!