I think you're talking about the ME but I don't think the ME is responsible for "BIOS" flashing. I think it must be a separate microcontroller. This is kind of the point of the original blog post: don't go looking for "the microcontroller" because there isn't just one; there are many.
Intel has since replaced this with an 80486 in modern designs; perhaps it also is implemented in the northbridge.
https://en.wikipedia.org/wiki/ARC_(processor)