Do the United States and Iran share influence in the Strait of Hormuz?

https://www.youtube.com/watch?v=1zHw6Bnh3kk

Dr. Ali Al-Jarbawi, Professor of Political Science at Birzeit University, believes that the current war is a struggle over the future of the international system, in which major powers interact, each in its own way. He says that the war will continue and that the high ceiling for mutual conditions is usually at the beginning of any negotiation process, as each party claims to be the victorious party.

https://youtu.be/1zHw6Bnh3kk