Here is a statement I found on another website that is relevant to the mono discussion: "A true mono cartridge has only one coil and is designed to respond to lateral signals only. It does not respond to vertical signals. A stereo cartridge strapped or otherwise manipulated to become a mono cartridge still responds to vertical signals. The introduction of the vertical signal causes distortion and phase anomolies that are not fully canceled by summing the 2 signals. The anomolies are audible. That is why many consider a true mono cartridge (one coil only) to be superior to a stereo cartridge adapted to mono."
So this statement conforms to my own claim that the response in the vertical plane is cancelled. However, it also mentions that cancellation is imperfect in that it causes "distortion" (without saying what sort of distortion) and phase cancellation (of course it does, that is how the vertical response is cancelled). But these considerations do support the notion that using a separate "true mono" cartridge may be additionally beneficial, which in part supports Elliot's experience. But surely the noise resulting from vertical deflection of the cantilever on a mono LP is not doubled.