Where'd those Bradleys come from, then? Zero troops yes, but the US has absolutely shipped a ton of military hardware to Ukraine.
Ukraine would absolutely fold without the inflow of NATO military hardware, that's the crux of Russia's strategy for winning - hope it can undermine Western support for a Ukraine war, and then crush Ukraine once they're on their own. That's the entire reason why Russia blocked gas exports to Europe - they lost a lot of gas profits forcing the EU to choose between supporting Ukraine or having Russian gas for the winter.
The US itself isn't fighting in the war, but they're undeniably a key participant in it. With military hardware and training and intel support and money.
And yes, those details matter in geopolitics, a lot.