I would suggest that it's not "single threaded", either.

Comparing consciousness to how a CPU processes instructions is very poor analogy, because to this day, because the nature of consciousness is still a complete mystery to science.

I mean, we can think about stuff, but we don't think about them one after the other. We're thinking all of the time, but we tend to focus on what's immediately interesting to us. Consciousness is a pretty complex thing to unravel...

That’s closer, but I also think it’s wrong to look at the brain as a GPU of general mind stuff hooked up to a CPU of attention.

I think it’s likelier that each portion of the brain fires away at up to whatever its natural “throughput” is (some activities more or less parallel), and conscious awareness just happens to feel like a single global mutex.

I guess this is a game you can play where you keep refining the analogy until it’s too complex to help, but I don’t think the linked author’s analogy is good or useful. Better to just say we can’t be consciously aware of two things concurrently. It’s not a hard concept.

Right. Thank god I don't have to think about breathing or making my heart beat.

What you don't think happens on its own and what you think also happens on its own. The illusion is that thinking is you, identification with thinking. Once that is seen as an illusion you can observe yourself talking, thinking and verify all this happens on its own.