That advice is a good way to start an interesting debate. Many of us strop before and after every shave, and there isn't any evidence that razor resting has been proven valid (from all of my reading). Personally, I don't let my wife know this because it helps me build my collection under the guise of protecting my investment:rofl2:
FWIW, I strop before and after every shave, and my edges are very stable and perform very well.