Well, I'm trying something new. In "...\UserPinned" I put a symlink:
I'll have to wait for the next update to see if it's deleted. For now, it offers a slightly different behavior. The pinned icon itself DOES NOT become the app's icon. A TCC started from the pinned icon gets its own icon. Clicking on the pinned one again gives a second (third ...) instance of TCC and the app icon (not the pinned one) is the one that's doubled/tripled ... up.