I think the rationale behind making such a statement is less about specific funding for the individuals making that statement, but for the EA movement as a whole and goes roughly: Most of the funding EA has is coming from a small number of high-net-worth individuals and they think donating to EA is a good idea because of their relationship and trust into central figures in EA. By criticising those figures, you decrease the chance of these figures pulling more high-net-worth individuals to donate to EA. Hence, criticising central figures in EA is bad.
(Not saying that I agree with this line of reasoning, but it seems plausible to me that people would make such a statement because of this reasoning.)
I think the rationale behind making such a statement is less about specific funding for the individuals making that statement, but for the EA movement as a whole and goes roughly: Most of the funding EA has is coming from a small number of high-net-worth individuals and they think donating to EA is a good idea because of their relationship and trust into central figures in EA. By criticising those figures, you decrease the chance of these figures pulling more high-net-worth individuals to donate to EA. Hence, criticising central figures in EA is bad.
(Not saying that I agree with this line of reasoning, but it seems plausible to me that people would make such a statement because of this reasoning.)