They shouldn't be contraposed, the result depends.
Suppose you have set edge on 2 blades, and going to deburr and hone them:
one scores 160 BESS, i.e. has about 1.5 micron edge apex, not even shaving your forearm;
the other scores 110 BESS i.e. has a near 1 micron edge, smooth shaves with, but not against the hair grain.
These can well be chisels or knives, doesn't matter.
Suppose you have the same honing compound on the wheels:
a Tormek leather wheel, a paper wheel, and a hard-felt wheel - we use all three in our workshop.
You aim to get the both blades razor sharp.
On which wheel will you hone which blade?
Tell me your best answer - this can be solved with common sense and everyday sharpening experience - and I will tell you what an edge sharpness tester readings are for each of the wheels.