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the reason for testing the razor after stropping it may be because stropping aligns the burr. I don't think you can create a blade with such a thin/acute edge without creating a somewhat instable edge. What we try to do is minimize the burr when honing, but imho you can't eliminate it completely. So just like steeling a kitchen knife, stropping aligns the small burr, which is what actually cuts through the whiskers. Now, this is not a huge thing, flip flopping back and forth, but it does get bent when it contacts the whiskers. Hence, we need to strop again to realign it and that's when you can only feel the real sharpness of your edge.
If you're talking about a wire edge, you're supposed to strop so as not to get one. That doesn't mean that you couldn't have a non-wire edge that's just too weak for your beard. But I think that it's pretty well accepted that stropping realigns the microserrations. They're on a much smaller scale than a burr. In fact, you can see a wire edge in a microscope, but I can't see microserrations even at 250x, which is the best I can get. I know they're there because I've seen them in electron microscope shots.