The only consoles that have run a windows kernel are the XboxOne and the Dreamcast.
I've already done the research and found the links on xbox blogs that say precisely the opposite. But I'm not a subscriber, so I'm not going to try to find it in my posting history. Good luck! Also, most Dreamcast games didn't use any Windows at all, and those which did ran on Windows CE, not Windows NT. We're not talking about CE.
The Xbox kernel and some very small amount of the userland came from Windows 2000, and the 360 OS is said to have come from the original Xbox OS. Look it up. Don't count on your pet citation. There's also people who have strong citations for Bill Gates also saying 640k should be enough for anybody. Not forever, just then. But because he said he never said that, it's considered counterproof. You're engaging in the same kind of thinking here.