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Yes, aircrete mixes usually don't contain sand. This isn't something unusual about this video, it's true for most aircrete recipes.

Another method: https://www.youtube.com/watch?v=tnNua21zx78

Concrete is cement plus aggregate (it doesn't have to be sand; it could be gravel, for example). Coarse aggregates wouldn't work well in this, but it would be cool for a followup video where sand is used.

The wikipedia pages suggests that this is more prolery referred to as "foam mortar" or "foam cement"

https://en.wikipedia.org/wiki/Foam_concrete

You could say the aggregate is air and the cement still performs its role as a binder, it binds all the air bubbles into a stable matrix. Hence "aerated concrete".

He had a note up that said he's been having some luck with a major addition of sand, but it'll be a bit before the video for that goes up.

There's also the possibility of using various fibers instead of sand.