I asked more or less the same question some time ago and received zero replies.
The way I go about it now, is to face the direction where their degree of the Zodiac is at that time. It may not be the ‘right’ way to do it, but to me it at least feels like it’s based on something.
A long time ago I did a couple of workings with Bael, and always just faced East, regardless of the time.
But currently I am only working with the Spirits who are connected to my time of birth and (like I said above) I just face the direction ‘they are’ at that time.
Edit: and than you also know their Elemental quality
I don’t know anything about this, it is only speculation. But Asmoday is assigned to Aquarius, which is an Air sign, and Air is attributed to the East. It could be as simple as that.
Over here, Aquarius currently is in the North-West. So if I would want to follow my method, but also wanted to incorporate the ‘official’ attributions, I would wait until Aquarius is on the Ascendant again.
Why use compass points goes to the relationship of the magician to earth, as more than just a random ball of mud spinning through vacuum…
Why they get allocated those specifics is not as interesting in my opinion, because the shamanic system allocates Fire to East, Water = South, Earth = West, and Air = North, and that system works if you work it, and then other systems use other different correspondences.
The directions are in part assigned and created because of the planets and constellations and there symbols and elements where than assigned each deity. That gives me a little more insight and closer to an answer. Thanks.