If you have two residences you'd be foolish to keep your official on in NY. Florida has not state income tax. People wealthy enough to own houses in both state probably got that way because they were smart about money. Therefore its safe to assume the vast majority are already claiming Florida residence and registered to vote in that state.
I just bought a house in Florida, but we still work in Virginia, so it wouldn't do us any good to claim Florida. A lot of these "snowbirds" are in the same shape we are in. People are working longer and usually it is difficult to take one of these East Coast jobs with you and keep it entact. People have tried that & it usually doesn't work out so hot.