Critical Role is a "home game" in the same sense that reality television is a fair and accurate representation of reality.
This is not a criticism, by the way. They are doing a great job with an entertainment product.
But they are entertainers. They have skills. There are hours of work put in by Mercer, alone, for every hour of work that you see (or hear). And every one of those talented performers is quite aware that they are bring recorded, and are making decisions not just for the game, and not just for the character, but for the audience as well.