I could have used this when I was a kid playing games and would go "sorry, my cpu is bad" whenever I had lag issues even though the cpu was actually okay and it was really because of playing on a laptop with integrated graphics and a spotty internet connection, because at the time I thought CPU was just a short way of saying ComPUter...
I think think for awhile as a very young kid I thought the former (by the time I learned about hard drives I knew what a monitor and computer were), but in my defense, my first exposure to computers and what my family had at that age was one of those old imac computers that really did have the screen and the computer in the same device.
My mother still calls her desktop the CPU. Infact you could make this chart with everything inside the computer called CPU except for the ram and the hard drive and your pretty much there.
Edit: I was upgrading her graphics card and she asked "Is the CPU going to work?" The first thing I said was "what's wrong with the computer. Does it still turn on?"
No I'm pretty sure that was also literally referring to the CPU inside the computer or whatever console you were playing on, as that is the specific module that would be calculating the moves for (or, "playing as") said bot player.