"I'm all about this being a place where people can happily be false and get corrected."

I am, too, until the false statements start drown out the relevant true information so that the most rational readers decide to stop coming here anymore or until the volume of false statements overwhelm the community's ability to respond to false statements. But, yeah, I am with you.

And you make me realize that downvoting is probably not the right response to a false statement. I just think that there should be a response that is not as demanding of the reader's time and attention as reading the false statement, then reading the responses to the false statement. (Also, it would be nice to give a prospective responder a way to respond that is less demanding of their time than the only way currently available, namely, to compose a comment in reply to the false statement.)