You might very well be right that it's more about how the stylus "ride" in the groove. I'm not 100% sure about the EQ thing, I've just read that the "EQ curve" in the 2M stylus series tries to bring out the most of the record without reproducing background noise.
Indeed, the Wild Honey 45 is on vinyl. I couldn't find a poor sounding styrene record immediately, so I just took another one that I knew sounds bad with most styluses to illustrate my point.