Then maybe that's a situation where you SHOULD permit the use of Intimidate. But not all situations fall into that rubric.
Player: Gorth holds up his big battleaxe and quietly suggests that the Duke tells them where they can find the leader of the Crimson Fist. Gorth doesn't care that the leader is his second cousin.
DM: So you're trying to intimidate into telling him you?
Player: Well I'm hinting that if he doesn't I'll get physical
DM: The Duke sneers. "You think you scare me, barbarian?"
Player: Oh. pausing ..then I swing the axe.... 20! Crit...48 damage!!!
DM: DM blinks... The Duke reels in pain, and screams for his guards. Dozens of armed men pour into the room. "You think I'd meet a mad dog like you without protection?" he yells in rage. Roll initiative.
Player: Uh, how many men was that?
DM: You don't have time to count them all. Probably two dozen, and it looks like there's more waiting behind them that don't quite fit into the room. They're armored and well equipped, though.
Player: Uh, Gorth doesn't think he can kill the Duke's entire army.
DM: Gorth should have thought of that in advance. He knew the Duke had an army, he knew he was in the Duke's castle, and he physically assaulted the Duke with lethal force of his own free will.
Player: Crap. Well, you wouldn't put a challenge in my way if I couldn't beat it, right? This is maybe a Level 6 encounter or so?
DM: Or so. Very much or so. Gorth should consider coming back in his next life as a person less prone to rash decisions.
Player 2: I put my hands up in the air and loudly proclaim that I had nothing to do with this.