I'm afraid this is incorrect. They hate the truth but love the facts. Truth is the reality of a whole but facts can individually be reviewed to help their agenda while still being rhetorically and 'logically' correct, i.e. a conservative says a truth like 'generally speaking, views against the establishment and so-called progress, more often from conservative users, are being censored by big tech' but the fact checkers will bring selective facts like some leftists being banned too or some conservatives being allowed to speak to deboonk the claim and label it pants on fire.