The only thing about warming your wine after dropping crystals is that they can be reabsorbed into warmer solution just as they dropped out when cold. For that reason, it's recommended that you don't allow your cold stabilized wines to come back to room temps, but rather bottle them cool.
I doubt a rise to 40 would result in many crystals redissolving, but my problem where I live is that it is 23 at night these days and 52 daytimes. I have been waiting for a week of real cold to stick a carboy outside, thus saving me having to transfer it to gallons to set it in the fridge. So far, no joy.
I cold stabilize all my wine made from grapes, and find that the rate of crystal formation is more about the type of grape than whether it is red or white wine.