this will only matter if Aeon won't get delisted from bittrex
Syncing wallets has nothing to do with the availability of a particular exchange.
Of course the price does, so if anyone wants to dump their coins today, I'm sure there are plenty of people who will buy them up cheaply.
Regardless, I'm going to continue to mine a little and buy a few coins here and there. I think there is long term potential in this coin and the community is really coming together right now.