Apparently, Twinkie is comprised of Matthew and Mark Downen and, while they aren't exactly the Yule Logs, Twinkie is pretty much a Christmas thing (though there are two non-holiday tracks in their Soundcloud feed). There's a video up on YouTube from 2011 of "Please Come Home For Christmas", but that's about the only footprint I'm seeing.
But this year's Twinkie tunes, so far, are much better (IMHO). Take "Christmas Down In Memphis". OK, its a Blues. You got me. I'm biased. But--and I know I'll probably offend a lot of people in saying this--to me, it sounds like what I'd imagine a T-Rex Blues number would or should sound (yes, I'm aware that T-Rex actually DID record some Blues, but that Glam element always moved those tunes out of the Blues column for me). Even on Twinkie's less impressive "Rockin' Around The Christmas Tree", there's a bit of a T-Rex vibe (it ain't Glam, but it rocks). Both songs are available as free downloads on Soundcloud. And its possible there may be more to come. Just in case, "like" the boys on Facebook so you can stay apprised.