I've noticed the same with laminated pieces. While I've never bothered to solve this problem I think you're on the right track, treating it more like a twice turned bowl.
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Use Tightbond 1, not the 2 or 3 or another brand. You will get much less movement that way.
Also, if your wood is not super dry, you can get movement too.
If you still have problems, let the piece sit unsanded for a week or 2, as you suggested, then finish it up.
Yeah, I have a gallon of T1, only quart of T2. My go-to is Tightbond1. I have a moisture meter, as I turn green wood occasionally. The segmented bowl (another post) was all dry wood. The only thing different was garage vs inside. I guess I will patient and re-sand after two weeks inside.