On an Intex, in your situation, I'd be inclined to do as you say, and save the water. However, it's a judgement call. In very cold areas, like some parts of Illinois, AG pools will freeze solid. They are drained down to prevent that huge piece of ice from splitting the pool open.
Unfortunately, as a Georgia boy, I have little experience with extended intervals of sub-zero weather. Heck, it hasn't even gotten below zero once, since I married nearly 40 years ago! (Happened a couple of times before that.) I'll post the Super Search page blurb below. You can search here AND TroubleFreePool for posts on "winterizing Intex pools"
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