Closed Minded? Or A Bridge Too Far?

I'm willing to accept just about any SF premise (although not necessarily what you do after that), but I really can't get behind steampunk androids. I know they have a long history, but there is no way you could fit that kind of computing power inside a robot head without quantum circuits, if then. I mean, Jesus, a difference engine? That approximated human-like reasoning? At less than 1 square foot? Without a network? How much . . . how much can you fit on a punchcard?

I of course still like Tik-Tok the Royal Army of Oz, but he exists in a magical world where there are living scarecrows and so forth. It goes without saying that Atomic Robo is atomic and by definition not steam-powered.