When you drop from two coils to one in a humbucker, of course you lose the noise rejection, and you drop the total number of turns, which means lower inductance and output impedance. That changes not only the overall output of the system, but the frequency response as well, basically reducing high frequency losses and shifting any resonance to a higher frequency.
Rolling off volume "a little" actually does the opposite, it increases output impedance which means greater high frequency losses to cable capacitance, and reduces resonance because the output impedance becomes more resistive than inductive.
A very clever pickup would "tap" to a pair of underwound coils such that humbucking was maintained . . . basically each coil would need a 50% tap. I'd invent that, but I suspect somebody else already has . . .