Yeah, but I remember reading articles going years back about the oil industry playing games with documentation -- there was enormous amounts of stolen oil, tankers and tankers, that would enter the system one way or another.
Here's a Planet Money episode from a series 10 years back talking about a reporter looking into people selling tankers full of stolen oil. People mixing oil offshore between tanker ships, stuff like that.
I don't know to what degree the system has changed in the intervening time, but I'd give reasonable odds that it still has a lot of holes in terms of control of oil's movement, that there are sketchy entities in various countries that will still "launder" oil.
It might make it more costly to move said oil -- and at a point, that might be enough. But I'm skeptical that the oil is going to become unmoveable.