Right you are about the recurve bow.
Still, I was never carrying more than ~40 oz. strongside (1911 pistol), usually less, and always trying to balance the sidearm weight with similar weight on the offside (spare magazines, knife, keychain apparatus), and couldn't tell any difference in how things felt.
I expect that someone carrying really heavy gear would probably be able to feel the difference, though.
In any case, I remain pleasantly surprised how much more comfortable it is having the weight all shifted forward with AIWB-style CCW.
I've since tried carrying in traditional IWB mode again, just for sake of comparison, and the difference in comfort using AIWB is quite considerable.