As said from Bram, many vintage hones mention something about the "long lasting edges" they give, and from people I have talked to about this, some claim that stones offer the longest lasting edges, where, edges from paste stropping, lapping film and anything else last less than the one from stones.
It's a bit difficult question to answer.
The edge on razors when finished on stones, is flat, V shaped no matter how hollow the razor is.
The edge when finished on pastes lapping film or anything else, on a softer base (like leather), should be convex, as even the touch of the razor deforms the flatness of the surface, the moment they come in contact no matter its thickness. Some of this could be beneficial, before the edge starts to degrade.
On other cutting instruments, the convex edge lasts much longer than a V shaped one. Yet, I haven't seen any claims that pasted stropping instead of honing makes an edge last longer.

I also think that the quality of the steel, and the tempering process are the most important factors. And for testing how long an edge lasts on shaves, there are far too many variables.
But I don't think between stones of similar grit that there will be a significant difference.