Corley, I would never encourage my players to do that to another player for picking those drawbacks, especially if the player is new to RP. The golden rule in RP is Respect. As a longtime RPer, not every suggestion from a player who had incorporated this drawback has to be forced to do a persuasion check and then a coercion check to make a point. If the argument that flawed character is making sense, he doesn’t need to make a roll for it and if the other player(s) want to support or even change their stance, then it’s their prerogative. I’m not saying that players can’t handle distinguishing IC denigration from OOC denigration, ie. taking the RP personally but from experience, new RPers have more of a tendency to do that, especially in the presence of strangers.
If it’s a well-experienced RPer who is in a group that they know well and knows what he’s getting into and wants to RP that, then yes, it’s his prerogative but as my job as GM, I would still want to let the character rarely be able to feel respected so that the player’s enjoyment of RPing that character doesn’t diminish. It’s a GM’s job to help keep their players motivated to keep RP that character.