This is an interesting angle, and I could see how the prospect of reducing the flow of oil to China, and also to teetering democracies in Europe, might have occurred to the US decision makers as beneficial. However, the question is, how much reduction for how long, and how critical this would be for China.
And the point remains that this operation has been started in a way that leaves the US in a weaker strategic position, not just in the Gulf, but also, crucially, in the far east. It has now become harder to contain China, both in the medium term by the reduction of US military capabilities both globally and in-theater by pulling out strategic defensive assets from South Korea and Japan; but also long-term, by putting themselves into a situation where they have to do that, retroactively, after painting themselves into a corner elsewhere, therefore undermining their posture as a credible, rational actor that can be relied on to oppose China's ambition in the region.