If you have a average width blade like a quality blade that is sharpened at a 1/2" ROH, would you have to sharpen a thinner blade at a 7/16" to get the same bite as the 1/2" on a regular width blade?
Please don't view me as a super-expert! I mostly learn from making mistakes.
But yes! Basic geometry. There have been some posts on this forum, and elsewhere where people figured out the angles involved.
However, hockey blades are thinner than figure blades, yet I think the most common ROH's around where I live are 1/2" for hockey, 7/16" for figure. (There are no universal standards.)
And speed skates are thinner still (much, much thinner), yet have no hollow - they are sharpened flat.
(Part of the reason for those discrepencies is that figure skating judges, especially school figures judges, love artificially clean edges, with no skid, whereas hockey and speed skaters don't care how clean the edges are.)
And school figures skaters often used to use wider than normal figure blades, yet also used larger ROH's.
But in your defence, many ice dancers use "thinline" blades, which are thinner on the bottom, and they do sometimes use a slightly smaller ROH on average than other figure skaters.
It is hard to come universal conclusions about what ROH a given skater using a given blade will use.
Incidentally, some figure, hockey and speed skaters try to create "foil edges" on the sides (there are other names for such edges), extremely thin sheets of metal on the sides that extend into the ice, that makes edges very sharp regardless of ROH. The "Flat Bottom V" edges created by some Blackstone brand wheel dressers is somewhat similar. Both of these are extremely fragile, and need extra care.