Are they though, in the straight ? I'm not sure it's such a great move, TBH:
Given that the baddies clearly can locate ships and see that there's no transponder, and come to the conclusion they need. "Hmm, it turned off transponders and is now moving toward the straight. It's a tanker, and not one of ours, or Russia's or China's. Let's bomb it!"
Also, pragmatically, you could look at the transponders suddenly not showing up anymore as a sign of attempt of passage, especially if they show up later on the other side.
Technically all ships crossing the strait matter as their cargos end up being bought, sanctioned or not, Iran-friendly or not; they wouldn't have crossed otherwise. If we're talking about avoiding a global recession and worst case famine in some parts of the world, the oil and gas must start moving regardless of who is the shipowner.
Given that the baddies clearly can locate ships and see that there's no transponder, and come to the conclusion they need. "Hmm, it turned off transponders and is now moving toward the straight. It's a tanker, and not one of ours, or Russia's or China's. Let's bomb it!"
Also, pragmatically, you could look at the transponders suddenly not showing up anymore as a sign of attempt of passage, especially if they show up later on the other side.
But yes, that would no longer be very realtime.