Iran doesn’t quite have the capability to shutdown the shipping lanes in the PG. At least not in any way thats sustainable for a long period. A few days at best. A USN CG would put a stop to it in a hurry.
Let's not confuse capability with intention and consequences Straits of Hormuz is barely 40km wide and the Persian gulf is very shallow. Blocking it very feasible for nations bordering it who are willing to take the consequences. We don't know if they are and if so, unblocking it also has consequences in terms of requiring committing to prolonges military occupation. Ultimately, it appears the military industrial complex has won by replacing defense $$ in Afghanistan & Ukraine with yet another conflict.
The Houthi threat was in and around the red sea. Iran’s naval reach is limited to with whatever it is they call a “Navy” in the Gulf of Oman. Almost on other side of the Arabian peninsula. Also the Houthis got pummeled once the U.S showed up. The U.S didn’t even continue a sustained campaign to wipe them out. Something it is more than capable of doing with just a single carrier group. That’s not even counting the Saudis getting involved.