I don't think you realize it, but your retort could be easily applied to the story in the OP just as easily as it could be applied to cancel culture. The point isn't whether either side is "right" or not, but that both side's positions shouldn't be distilled down to 1 liner dunks like the original commenter was engaging in.
No. The First Amendment does not protect from consequences between non-government entities. A government agency attempting to track down people when it disagrees with their speech is explicitly what the First Amendment was intended to protect. Hope that helps.
