How does it work to force a player to do that, though? If a player isn't game to go along with the charade (of, say, pretending to believe an NPC, even though the player is convinced they are lying) there are a million ways to subvert that.
"My NPC rolled a nat 20, so he persuades you that he didn't steal your gem."
"Ok, I believe him. I'm going to pick his pocket anyway."
"But you believe he's not the thief."
"Yeah, I know. I just think he looks like he might have something valuable."
That in turn can lead to an argument about motivations, a deep distrust of the player, and ever more deceitful efforts by that player to circumvent the table's (or just the DM's?) prohibitions against metagaming.
If the player acts like this, clearly there's a disconnect in playstyles and somebody needs to find a new table.
If the player wants to act like this this, but doesn't, clearly there's a disconnect in playstyles and somebody needs to find a new table.
If the player doesn't want to do this, then no coercion was necessary in the first place.
So....why not just find people who share your playstyle in the first place?