Quite the contrary I'd say.
Whatever happens to Ukraine, it is not all that important to the US. What is important is that they are able to directly weaken their enemy, crush their economy, rally the world against them and test their new weapon systems against a real military power. Even if Russia manages to eventually conquer all of Ukraine, it will take several years, and will cost them most of their equipments. They will never recover from that.
Russia thought they would flex their muscles and scare everyone with a big rapid win in Ukraine, so that all the other ex-USSR countries would follow. They failed miserably, and have no way out where they can look good now. I don't know if that is what the US intel was predicting, but the outcome is amazingly in the favor of the US right now.
Anytime you can give weapons to someone else so that they can shoot your enemies without any consequences, it is a sure win. They give a bunch of $150K Javelin to Ukraine, which they then use to destroy tanks worth $15M each, and no one is shooting back at the US.
That will be their cheapest war in history!!
I don't know if they tought it was going to happen that way, but if they did, it was brilliant. And if not, they won anyways.