at the end of the day a cartridge is a compliant lever with a needle and either one or two electro-magnetic coils at the other end (or magnet moving inside a coil).
Mono records only have a single direction of displacement. Stereo have two.
But either way its a compliant diamond sliding through wiggles. A stereo needle will simply pick up the exact same movement on both channels.
I do not see how this will damage anything.
I admit i've never looked closely at how they align the squiggles
So i find this assertion very unlikely