My claim is a bit stronger, not only can you play without lying, but you don't sacrifice anything, you can play at top level without lying, and you gain no adva

My claim is a bit stronger, not only can you play without lying, but you don't sacrifice anything, you can play at top level without lying, and you gain no advantage by lying. In essence at optimal play you ignore whatever your opponent says, there is only the bets and game actions, which are independent from the cards held.