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OMG yes,

Tony good point...I didn't even consider a pasted strop. You will easily overhone a blade on a pasted strop. In fact I think I've chewed up a few edges with a pasted strop. I mean...

I may not be following your question because it doesn't quite make sense but I'll try to answer it and if I'm off base I apologize up front. One, taking your time is a good idea, being rushed is bad...

My opinion:

Yes, you can overstrop

Typical symptoms are that the razor becomes dull, the edge becomes rounded. Its not because you overstrop in the classic sense of overhoning. 1,000 perfect...