Just me, but having carried (and worked on) a PPS40, and carried a Springfield XD, the M&P's that I have are fully cocked when the striker is engaged. The PPS and XD are not....
I suppose you could argue that the striker moves a few zillionth's of an inch as the sear drops out of the way, but that's also the firing process - the sear just drops more or less vertically....
The Glock, I'm told, and the Springfield XD's move the striker back a ways as the trigger is operated.
By my definition, the M&P's are single-action.... The PPS and XD are Glock-style....
HOWEVER, I would guess that the USPSA definition (if that information is correct - I have no idea) is based on a very long and slightly heavy trigger v.s. the hair-trigger of a fast 1911 or SA revolver (or a DA revolver in SA mode). Both the Glock and M&P have some length of pull....
The Para LDA is called "Light Double Action", but it's mostly hype. The trigger comes back a ways under about 2# or so of pressure, until you hit the trip point, when it turns into an ordinary SA. The idea is that the hammer isn't back when in Condition One (which is pretty much the only way to carry the thing), so the chairborne rangers who don't like SA's don't notice....
The other issue for Tupperguns is the restrike situation. It's not, IMHO, a DA, if you can't get a restrike without thumbing back a hammer. (Or there's no hammer at all.) The Glock, Springfield, and PPS designs, even with some striker movement, won't restrike....
(Whether restrike capability is desirable in other than .22's is another story

.)
Obviously, the solution is to run out and buy appropriate samples, but my wife wouldn't go for it

....
Regards,