I assume you heard of Aurbis being described as a wheel with eight spokes?
Well, the Aedra(excluding Lorkhan, who's just plain weird) are those eight spokes.The spaces between those eight spokes are the daedra princes.
Each prince represents an idea(or more). Eg. Mehrunes is destruction/revolt/bloodshed, Hircine is the hunt, Sanguine is debauchery(also, possible god of partying with dragons ;P) etc.
Aedra are the kind of ideas who allow a world to be stable - time, love, beaty, work etc. - The Eight Givers, as there are eight gifts.
Lorkhan's brains(and heart, and body, and sou and mind) being blown out of course symbolize his role as god of space - being spread out.Also another gift, not quite conventional
(no more puns, I promise) , though.
Mundus, as the hub of the wheel, depends on it's spokes.
Had those spokes been destruction, debauchery, hunt, darkness, plotting, demonic knowledge - you'd get Oblivion, except with all the daedra spheres merged.Time wouldn't be linear, due to Time not playing part in creation, no love would exist, everybody would be lazy criminal scum(if law existed), nobody would be able to die or be born, as Arkay bailed out - you see the point.
This requires a very different mythical structure, which answers the questions of: who'd be Lorkhan, who'd form the Enantiomorph, who'd be Magnus and bail out etc.
The "gifts" of the Daedra depend on the Eight Gifts of The Eight Givers.
Tl;DR, you could hardly consider such an Aurbis a TES Aurbis.