Like the Panama Canal and the Suez Canal.
Well, those are actually canals that had to be built. Hormuz should be free passage, nothing built there that needs to be maintained.
A natural waterway is a bit different than a man made canal. Natural, international straits don’t have fees. The Strait of Gibraltar is half as wide as Hormuz. The Bab-el-Mandeb Strait entering the Red Sea, the English Channel (Strait of Dover), Singapore Strait, Straits of Malacca, Danish Straits, all narrower than Hormuz and critical to free navigation and trade. The closest thing to a fee based strait is the Bosphorus & Dardanelles, but it is entirely within Turkey, less than 1/2 mile wide, and requires pilot and tug services for tankers and cargo ships.