Floor plates are not very 'springy' in my experience. They're very soft actually. However, If the screws are all that is keeping it from sticking up proud then it will likely spring up some when the screws are removed. I try to get them to sit in nice and flush without any screws in. You can sometimes see where they're warped by using a small steel straightedge across the bottom of the plate. Irregularities will show up pretty well
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