The bows that balance best throughout the entire draw are those whose longitudinal center, string fulcrum, and dynamic balance point all line up. This is achieved by way of design(laying out bow center to suit the shooter's fulcrum) and balancing relative limb strength through tillering. When accomplished, there is no shifting from the static balance point(where it balances at brace) to the dynamic balance point at full draw. These are the sweetest drawing and shooting bows, and are quite inherently tuned... and this can be predictably done.
An asymmetrical bow exactly as you described, with the shelf 1 1/4" above bow center is a perfect layout for many 3 under shooters... assuming a 4" handle and average size hands applying even pressure because the string fulcrum is also at the 1 1/4" mark. The limbs then, if tillered/timed so the arrow nock comes straight back, will be harmonized while showing an even tiller as a result, and putting the dynamic fulcrum as well, at the 1 1/4" mark.... generally speaking.