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Is the screening and/or sanding of the sealant coat a requirement for the best possible adhering of the subsequent poly coat? Or is the screening really more for the reducing of the grain height only?
It's both. If the manufacturer recommends a light sanding after using their sealer, then I always recommend following their directions. Keep in mind, they made it and know it better than you or I. So best to follow the directions and not try to cut corners. This is where DIYer's get into trouble. You do not have to use a buffer and screens. You could go with the "muscle method". Use a sheetrock pole sander and sand it that way.
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Is this distinguishing "abrasion" from "sanding?" Or is it possible to apply subsequent poly coats without abrading or sanding if it is done within 6 hours (i.e., apply the polyurethane coat, allow it to dry 1-2 hours, and immediately apply another coat until the next to last coat is applied--THEN sand before the final coat only)?
Yes, screening and abrading, in this instance, mean the same thing. If they state you can recoat within 6 hours of the previous coat without sanding, then you can without difficulty or problems of adhesion. It's commonly done with waterbased finishes.