Well, I tried this.

Interesting... I did this with a 9/16 full hollow Solingen blade, nothing special. First thing to note is that after stropping, the razor was scything standing hairs on my forearm just as well as I would expect after going from a much higher stone to the strop. But, the shave was nowhere near as smooth. In fact, I switched razors for the second pass, though it also should be said that I prefer a much heavier blade with a smiling edge (it seems I have very heavy growth on sensitive skin, and the smiling edge in particular seems to make for vastly improved comfort).

So, nice to have a clear realisation that keenness and smoothness are two different things.

But I would not want to shave straight off the 1k stone without stropping.