BTW there really is a simple, near perfect litmus test to seperate the honestly wrong from the ProudlyWrong.
Person A: "2+2=4."
Person B: "No, 2+2=5."
Person A: "I disagree, show me your evidence."
Person B: "Sure, here's my evidence..."
as opposed to:
Person A: "2+2=4."
Person B: "No, 2+2=5."
Person A: "I disagree, show me your evidence."
Person B: "No. I'd rather talk about my right to hold my own opinion, or about censorship, or about how you aren't disagreeing with me the right way, or about you not being civil enough in responding to me..."
Honestly wrong people will actually argue their points and even if their points are insanity piled on insanity there's usually SOME value in that, or at least an honesty.
The Proudly Wrong are almost entirely defined by the desire to discuss anything, everything but their wrongness. They have no intellectual skills beyond a bag of tricks to make talking to them as inefficient, time wasting, and frustrating as possible.
They've weaponized Brandolini's law, the fact that simply put it takes so much more effort to refute B.S. than to spread it. They make themselves so wrong about so much and break for the hills as soon as a point is made that talking them back to just the original wrong takes the several college courses worth of effort on your part, them fighting you all the way from basic wrongs to specific wrongs, only to reset and start the whole process over again.
It's why despite being very anti-religious Penn Jillette once said on some level he gets along with religious extremists (in the intellectual sense, not the behavioral sense) because they'll say "No you are wrong" while the wishy-washy middle of the road apologists doing the whole "No there are many truths, just let everyone think what they want" is how you speak to a child.