at a range where short-range anti-ship missiles can reach ships from Iranian territory.
Not even short range. With a sensor feed from an ally they can project into the Gulf of Oman, and via Yemen the entire BaM.
Doubtful China would provide that because they want oil, but likely Russia would, because they want high oil prices and American humiliation.
And boats, amd submerged drones, and mines...
So, the entire gulf?
Actual short-range weapons can't cross the strait. The ones that can don't care much about the difference on the rest of the place.