My DS learned to read and talk simultaneously, but I didn't think that was usually the full definition of hyperlexia?
I agree. DD was a very early reader, and combined with the fact that she wasn't a super early talker, I could certainly say that she learned both simultaneously, or nearly so. At 4, she can read any word that she understands (and can often decode words that she does not understand), but she clearly does not meet the ordinary definition of hyperlexia. She's very advanced in speech at this point (and probably always would have been but for a developmentally-appropriate difficulty articulating words); and she has no spectrumy behaviors at all.
I've heard hyperlexic children described as having the written word as their primary language. So if a child, for example, can't point to the cat when you say "cat," but can point to the cat when he or she sees the written word "cat," that child is clearly hyperlexic. The ability to read is inappropriately advanced given the child's receptive speech development. I'm no expert, though.
ETA: Rereading your post, it seems like you are in a pretty stressful place right now, so I'd like to give you a (((hug))). Do you want to describe more of what you are seeing? Or are you just looking for information about hyperlexia? I'll be honest; I did research hyperlexia a lot a while back (as a matter of curiosity), and I was very disappointed in the quality of the information available. It seems like a word without an agreed-upon definition, IMO.