There's been lots of talk surrounding this issue both here and out in the general recovery/psychological community. I've taken SSRI's and they had lots of other bad side effects so I quit them anyway, but it was several years after I quit drinking and I did not notice any increased "desire" to drink because of them.
I think the bottom line is that SSRIs, along with any other mind-altering substance ( alcohol included ) affect each of us in different ways. And sometimes in bad ways. Just read the possible side-effects of any prescription med these days and you'll see that almost anything is possible. If you have found that avoiding SSRI's is a good thing for you, then I'd suggest you continue to do so .