No, the umpire should. In every sports, there's always involved with gamesmanship. Unfortunately umpire/referee are human and the players sometime can fool them and some get caught. Give you an examples of gamesmanship that a player help him and his team....
A baseball batter pretend that he got hit by a pitcher so he can be awarded to 1st base. They pretend to get hurt so the home plate umpire believe that they got hit. Gamesmanship !
A basketball player flop when there's hardly any contact. The flop is to try to sell the referee the opposing player foul him. Offensive and defensive, many of them get away with it. Gamesmanship !
A tennis players usually call MTO when he's either down or when the opposing player is in a hot streak. One way to weather the storm is delay the match, taking the momentum away, causes a let down, etc. The problem is tennis umpire doesn't do anything despite he/she knows the injury is BS. Gamesmanship !
I've already mentioned about soccer.
Notice I'm not saying all of these fake acts are violation, but it's gamesmanship, and the sole purpose is trying to gain an edge. I've watched many sports, and tbh, no fans/experts/commentators respect players faking. And it's no secret that many tennis fans don't like Nadal.