ElChanclo
Stinger Enthusiast
The Brembo pads use 2 bonded shims, whereas the Dynamic friction (and likely other aftermarket pads) only use one. The shim wraps around the ends of the backing plate, which is the part that contacts the inside of the caliper.
I bet you dollars to donuts that's where the clunk is coming from!
The OEM brembo pads have a soft liner between the pad and the shim that wraps over the top and bottom of the pad edge (where you have the copper anti-seize in your last photo) and that's what cushions the clunk. I just checked the photos from my own pad swap and they're the same as yours, the powerstop Z26 just has a single metal shim on the back that wraps around the edge now you get that metal on metal clunk between the pad edge and the caliper. That still doesn't explain why ONLY the Z26's have the complaints.
Though I have to post an update on mine as after their first track day I can't replicate the clunk anymore and on the rare occasion I hear anything it's very quiet and sounds like a normal brake function, wouldn't have noticed it at all if they were like this from the get go.