My DS10 was [mis]diagnosed with hyperlexia when he was 6, so I've done a lot of reading on the subject.
Hyperlexia has 3 subtypes. Type 3 has autism traits and some argue it is an autism spectrum disorder. However, with appropriate therapy, kids with hyperlexia-3 outgrow their autism-like behaviors. The prognosis is excellent with early intervention of speech, language, and social pragmatic therapies.
If you are not comfortable waiting, you could pursue autism evaluation to get insurance to cover therapy now.
The difference between hyperlexia-3 autism-like behaviors and autism spectrum is that hyperlexia-3 will get better with treatment. Call it whatever you need to in order to get therapy. JMO
