Once one moves from a position of effective prejudice (“he will criticise me because I’m a woman”), any critical statement can be read from that perspective. It’s a bit like with conspiracy theories, where every debunking attempt can be turned into “of course THEY would say that!”.
The main point is that, unless you’re talking physics (maybe), nothing is so “fact-based” that it cannot be perceived in the “wrong” way by someone sufficiently determined to do that.
1. An observation that you are arguing from a position of assuming malice from the other side. "They" are trying to twist everything, therefore evidence is not required since "they" won't listen anyway
2. You can point at any public twitter mob where the real conversation was made public afterwards or where you know the inside scoop and with the caveat of anecdata it could strengthen your point
3. You seem to be dangerously close to resting on a "what even is 'fact based'?" argument repeating that "they" are determined to misunderstand statements in malicious ways