You have to be polite to someone who's a) wrong and b) being rude about it, so that the general reading community can get correct information.

So when you want to say "AHAHAH the thing that you cited in the rudest way possible actually supports the thing that I am saying, so perhaps it is *you* should google that shit, not I, as you so rudely suggested"

you instead have to say,

"Well, actually, I'm seeing that says x y and z, which I don't see as supporting what you're saying, instead supporting my point. Could you point out where it says what you're thinking it says?"

So instead, I'm saying it here.

DON'T TELL ME TO GOOGLE SHIT WHEN I JUST TOLD YOU I'VE RESEARCHED AND PUBLISHED ON A TOPIC, I WILL CUT YOU.

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I feel better.

ETA - it appears my politeness was for naught, as they didn't like the fact that they were clearly wrong, so deleted me anyway. Sigh. I should have told them what I thought of their research methods while I had the chance...