I don't think you are incorrect. I simply wanted to offer additional insight into what comprises a sustainable material. One solution does not fit all. Location, climate, and use are equally important considerations.
Embodied energy is typically measured in MegaJoules and there are materials lists available on the internet. One correction from a previous post, I stated that cement is high in embodied energy, relative to other materials like copper and steel it is lower, but because it is one of the most used building materials, collectively it has a far greater environmental impact.
I've been trying to get educated and informed about Embodied Energy and I noticed what you just reported. Cement is listed as medium in most publications.
I haven't heard much negative information about AAC and I worked with it about a decade ago now.