Does it freeze much there? I happen to think putting a pool up every year is a PITA. Some kid always goes out in the spring and digs holes in the pool base sand area...
We didn't break ours down last year, it is fine but there's not a lot of snow or ice/freezing temps either. It does get down to 20'ish for about a week or two every year and we get maybe one snowfall that counts. Neither seemed to be an issue for the pool.
We winterized according to pool school here, cleaned all the leaves out, bleached it up and covered it. It would have been fine if the cover hadn't dropped in this spring, I had to shock it and re-cover early this February after a week of no clouds. Funny, the cover fell in around Christmas and nary a growth of green till that sun came out. Next winter however, I'm not draining it down to below the outlets, we'll plug them instead. The cover just collected rain water because it drooped into the pool lower than the edges. If we put a floaty with a beach ball in the center, it needs to tent instead of drop into the pool so the rain can run off.
OH, btw... I either didn't read or perhaps even ignored the manual that may have said don't leave it out all winter. It's Intex brand.