In my view, AE (absolute emptiness) does not imply space, for space is also “missing” as it were.
Also, AN or AE is a state (I am convinced) encountered in deep meditation and experienced as the ultimate truth. Everything goes downhill (or uphill) from there, depending on viewpoint.
I do subscribe to the Advaita Vedanta view that AN or AE is pure form and space and timeless consciousness which we also all are (Brahman versus Atman). The apparent infinitude of the physical universe (I actually believe that there is an edge to is somewhere out there) is Maya or illusion.
Why? Because my non-existent Maya heart tells me so :-).