There are consequences, sometimes not immediately. Sometimes it's episodes later where reputation builds up and the edgelord starts getting hated by the realm.

And the player, pretty much consistently, would be shocked about that.

I have a player who caused a scene in a high class establishment full of snotty nobles then acted surprised several sessions later when he tried to go in for a drink and was informed that he is barred from the premises because his shenanigans are damaging their reputation. He then proceeded to harass and abuse the workers over it.