There's definitely a risk/interesting development there. I've read some reports that says some gulf countries are attempting to negotiate with Iran. But I've also read that some countries such as Saudi Arabia and the United Arab Emirates (to a less confident extent) have actually participated in strikes against Iran or Iranian forces.
They are in a hard position because while they've mostly been peaceful countries, their militaries are weak and their infrastructure is at risk to Iranian drones and missiles - which again proves the need to stop Iran from acquiring more and making this more of an issue in the future.
But the US will ultimately be the one deciding what engagement will look like and the gulf coast countries will fall in line. While they certainly want the war to be over, they also don't want the US to leave the Middle East and leave them to quite literally become vassals to Iran (the US doesn't want this either) which is an option if they decided they would somehow "end the war" with an agreement with Iran. They're toeing a fine line here.