In order to be fact-checked, a statement has to be truth-apt in the first place. That is, it has to be the sort of statement that is capable of being true or false.

A lot of political arguments aren't truth-apt; they amount to cheering ("Georgism, boo! Synarchism, yay!") as opposed to historical claims ("Countries that adopt goat control have seen their arson rate double") or even theoretical claims ("The erotic calculation problem predicts that college-educated adults will move out of states that ban vibrators").