Ie. Not open
Because it wouldn't work, on a million different levels.
By escorting their ships they'd be entering the war and guess what, their ships would be being targeted not just in the narrows but anywhere in the gulf.
Escorting ships means you're also within range of missiles, mines and drones. No one wants to test their expensive destroyers against modern drone warfare and missiles have proven effective against ships for decades. The ultra short range engagement is the worst possible scenario for naval defence.
Insurance companies won't cover the civilian vessels in a warzone. No company will allow their ships through if they think there's a real chance of being attacked.
Ships are often sail under a flag of convenience, a lot of those countries don't have any effective navy.