You are probably right about the on-resistance. Depending on how much feedback there is, having unequal resistance can give some substantial even harmonic distortion.
Using a p-channel for the high side makes the drive easier since the source reference is the positive bus. Some designers even used capacitive coupling to drive the high side.
The problem is that now you have a lot more capacitance for the high side switch, and this has its own problems, not the least of which is cost. It seemed like a reasonable idea in the 1980s, but designers have access to better high-side drivers for n-channel FETs, and you don't see so many p-channel power MOSFETs these days.
John