Yes they should, cynical fouls are simply part of the game and often elegant when they’re not dangerous. The player is making a trade-off and can’t commit such fouls when already cautioned. The big problem is that some players from certain teams can get away with making 4 fouls before even being shown a card.

Going down to 10 men in football for any period of time is insanely expensive, and we need less referee ambiguity determining the fate of games instead of more.