One can claim Carlson didn't say Churchill was responsible. But he didn't disagee either.
... also https://www.jpost.com/international/article-818792
>Later, he endorsed Cooper’s claims. “People can certainly take issue with any factual claims you’re making. I assume they’re all right,” Carlson said. “They’re consistent with what I think I know to be true.”
That Cooper guy has also said Hitler is in heaven now.