The drop safety plunger is the same function/feature.
In being honest.. I looked at a disassembly video of the BG. The trigger bar and rear sear housing block assembly do not look the same as the Shield and other M&P lineup.
That’s not to say the function isn’t exactly the same.
I’ve shot a BG 2.0 at the range, rental. I haven’t torn one down or worked on one.
I’d say the safeties serve the same purpose, between the trigger safety blade and the striker safety/plunger.
But I don’t feel confident in saying they work exactly the same.