And 130 at its widest, and substantially wider than the Strait of Dover throughout most of its area, so again there's tons water outside of their jurisdiction.

…. Uhhh no it’s ~78 at its widest. Meaning that there’s only about 30 NM at its widest to be in the area you are talking about. And the article literally says it was within 20 NM shore when this happened, so once again, talking out of your ass.

"Net, ship is there for unrelated reasons." I think you're being a bit naive. (accidentally hit post) Nobody is going to sanctions to warships, even if they're escorting a sanctioned ship.

And yet Turkey did exactly that to Russian warships:

The ongoing Ukraine conflict has highlighted another critical aspect of naval interdiction—the control of strategic straits under international conventions. Turkey's restriction of Russian warship passage through the Bosphorus and Dardanelles straits since February 2022 demonstrates how treaty-based powers can significantly impact naval operations.

Under the 1936 Montreux Convention, Turkey maintains authority over these vital waterways connecting the Mediterranean and Black Seas. When Ukraine requested assistance, Turkey invoked the convention's wartime provisions, closing the straits to Russian warships except those returning to Black Sea home ports. This decision effectively prevented Russia from reinforcing its Black Sea Fleet with Mediterranean-based vessels.

https://www.marinepublic.com/blogs/marine-law/325096-naval-operations-maritime-law-guide-warship-rights-at-sea

That link has several other tidbits about how this would play out. Essentially, Russia is under sanctions, their companies owe debts, Russia has committed war crimes, the president is wanted by the IOC, there’s a bunch of reasons why the warships could be prevented passage, but not only prevented passage but taken control of and their crew detained and tried.