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As 10 Pups said a stone is hard, if you apply enough pressure to make up the difference on a strop you are likely to do as much damage as good.
Dovo sells even coarser paste and you can get by like...

Some CrOx on a dedicated strop with proper technique can keep a blade going for a very long time.
It will eventually need a hone this is inevitable.
The blades are not indestructible but with...