Well, Heres what I'm Coming up with, not an exact awnser, but it helps.
1) The HH slimpad says for the feel of a marching snare drum, a thin layer of gum rubber, While the stock pad says for the feel of a tenor or bass drum, I'm assuming that means Multi-tenor too.
2) I use a slimpad without the laminates for rudiment practice, I also have a set of my schools tenors I use for practice, just from trying to tell with my hands, There does not seem to be too big of a diffrence, the pad might be a little higher tension.
I would go to risk that the pads on the quadropad are probably a little thicker then the slimpad, but thinner then the stockpad. Of course, I've never seen the quadropad in real life, So I can't exactly be sure.
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My favorite YouTube comment
On the subject of a bad tenor player
just to let you guys know, being a drummer, he meant to hit the rims, it's part of the effect. It changes it up a bit.