I'm afraid that's mostly bollocks these days.
There are Patriot banks at every significant installation. With the oil being produced by the rest of the world, they could miss the Arabian Gulf's contribution for months before it every became an issue, and Iran wouldn't be able to close it for that long. All that would happen is speculative oil prices would spike for a while.
Meanwhile Iran would be turned into scorched earth.
Not going to happen. Shi'a are not suicidal. That's the Sunni.