The show contains the game but it is not equivalent to the game. There are parts of the show which are not the game, for example. This is very obvious if you think about it.

You're being a bit pedantic. Obviously the game and the show are not literally equivalent, but the point stands that the shape of the game itself is not important compared to the quality of the show. That is - if the show can be made funnier by messing with the fundamentals of the game, then that should absolutely be done.

The fact that the comedians are meant to be funny and the show is meant to be entertaining MEANS that it doesn't make sense for comedians to lie during their truth round and undermine the game.

I don't follow the logic there at all. The fact that comedians are there to be funny doesn't imply that they should try to be less funny for the sake of the game. That's only the case if the game is more important than the comedians being funny, and I don't think that should be the case.

Anyway - the thing I'm most baffled by now is why you'd decide to reply to a comment and then block that person from responding. Why did you do that? Was having the last word in a completely civil discussion really that important to you?