Originally Posted by
Money D
So, there's no such thing as tires that have a reputation as being wide but not tall?

Most bicycle tires aren't designed with profiling as you see in automobile tires. Essentially they are round cross sections when you draw in the missing arc for clinchers. Just like tubulars. Tires that have more tread, like knobbies for off road use externally look like a different profile, but when you look at the cross section, you'll find the casing is essentially round.
(the wheelset has an inner width of 15mm)
Not sure where to go with this. The rim width will make a very minor difference in tire profile unless you are at the extremes.