This surely affects your probability that the guy who's pulling a Pascal's mugging on you is really faking.

Adelene's response is important, but I'd like to point out that if anything the danger in engaging in such muggings makes people even less likely to be faking. So this isn't a solution to Pascal's Mugging, it just means that the situation is even worse. So now the mugger instead of saying 3^^^^3 people can just say (3^^^^3)/2 or something like that.