I have seen what LY reported above, where the first deep cycle is not as "good" as the next one, following a period of floating.
IMO this turns on the issue of destratification. Just floating does not help with that. Some chargers with a float stage do a shot of higher voltage every so often to address that issue.
If you do not float, and just recharge every time the batt self- discharges to 12.4v, as some blurbs recommend, that would also do some destratification as long as you recharge at a high enough voltage. I don't think 12.4 is low enough to really do much there.
You are also supposed to do a proper deep cycle every so often and follow that with an equalize overcharge every couple of months according to some guides for deep cycle batteries.
So in the context of this thread's discussion, it could all turn on how long "all winter" is in months.