I think, with all due respect, that it is a bit early for Radiohead to be recording their own ATYCLB. Plus I don't actually think they are that kind of band.
My prediction (cause I'm not about to say what I WANT them to do) is that forthcoming Radiohead releases will reveal more of the band's blackly absurdist, comic side.
Just as U2 had to rebel from their media image as po-faced saviours of the world, Radiohead may feel a need to break free of the depressed, morose, elevators-and-car-crashes image they've acquired (which ironically the last two albums have only served to reinforce; echoes of Rattle and Hum?).
I think - or at least I sense - that Radiohead may circle back to more of a band approach in future. But, who knows? They are a different sort of band in that, I think, Thom Yorke does pull the strings to a great extent. And his frustration with the 'rock band' sound is well-documented. Maybe he has moved on from that.
If anything, in a lyrical sense, I expect Radiohead to become more explicit as time goes by. If you read the interviews, it becomes pretty clear where they stand as people when they survey the world at large. But in their music, they've gone under the cultural radar on that, mostly. The Bends and parts of OK Computer were probably as up-front as they got on that score. Maybe that will change in future. Or maybe Thom still has no faith in words (which is pretty much what all the gibberish was about, right?)
Actually I think U2 comparisons are more or less useless at this point. I've already contradicted myself three times in this forum when comparing U2 and Radiohead, which might suggest something is amiss.