Your question did make me think a little.
i went and tried to hone without 4k and see what happens.
this is what i did.
i set bevel on 3 razors using shapton 1k.
then i moved to 8 k norton.
it did take more time and laps then usual.
After making 50 strokes i was level of 4k .
then 30 strokes was ok but not where i wanted.
i made 30 more and edge come to close to where it could get.
your last 30 stroke could change it may be 20---60 .
Depends on razor temper , stroke etc.
This tells me you can do sharpen your blade with your method.
gl