I do think it depends a lot on the particular wolf, and the set-up of the game.

I do also think it goes back to games that allow PMs and such need to have ways for wolves to avoid easy detection (well, all games really, but probably more-so when networking is possible). In an all PR game, the list of known town roles (if any) needs to be much smaller than the number of townies, so that wolves can invent plausible-sounding fakeclaims (or be provided them by the narrator). In a mass-claim situation, every role known to exist is either a hard-confirmed townie or a lynched wolf (possibly after a mislynch if town guesses wrong on who they think is lying).

A wolf with a fake-claim that is not trivial to see through can do a lot of damage if he's trusted by the network.