I don't know anybody who trusts facebook (the company).
But I do know a few people who are all to eager to trust everything that gets posted on facebook, and a sizable chunk of these people would indeed take such an "extremist warning" by facebook to mean that "they" are trying to hide things from the public.
All of my right-wing friends and acquaintances who received this message mocked it and took it as more evidence of Facebook's bias, so I'd say it was inversely effective.
But I do know a few people who are all to eager to trust everything that gets posted on facebook, and a sizable chunk of these people would indeed take such an "extremist warning" by facebook to mean that "they" are trying to hide things from the public.