We do have anti-mine capabilities, and we can use other sonar devices to detect such chokepoints. Tankers might move through their more slowly, waiting for an escort, but they'd still get through the strait.
Agreed. And something else... most of those double-hulled supertankers would take a hit from a sea mine and simply shrug it off. During the 80’s tanker war the commander of the US Escort Group simply put the tankers in a single-file line behind the first tanker to hit a mine. All the US destroyers & frigates fell-in behind as well.
... but what the Iranians are training to do this time is to perform “swarm attacks” using high-speed boats supported by heavier units. They will hit the convoys while they are picking their way through the minefields, making systematic minesweeping difficult.