Yes the latest ST 78xx regulators are also thin tabbed, so no valid indication if fake or real IMO.
You don't get it. Thick tabs means lots of expensive metal instead of cheap plastic.
Sorry you don't get it, I am not talking about the TO220 vs TO220FP as you suggest, I am talking about the TO220 double gauge (page 36) and TO220 single gauge (page 38) both metal but the one is thicker than the other see for example
this datasheet for an ST 7805 and the above mentioned pages.
So the thickness of the metal does in no way mean they are fake, because the manufacturer sells both versions.