Seems a bit early to say whether others are going to do that. This experiment hasn't had much time to prove itself and so far I haven't recognized anyone using a corporate branded BotStopper instance, only the jackal girl version.
Responsibility manahement through branding is an interrsting idea and I wouldn't mind seeing it working, but a prediction like that seems like jumping to conclusions prematurely. Then again, I guess that's kinda what "prediction" means in general.

An alternative explanation for a lot of this is that people are seqrching for something that interests them, seeing that every result is spam or shopping and exiting the page.