One Orrery was built by a race with actual observatories. The other was supposedly built by those who had been able to gather celestial matter. Neither of these groups' astronomical feats have been repeated since. The other thing is that mortals tend to believe the universe revolves around them (and not just in TES), which Haskill seems to disagree with.
The universe, unlike that of TES doesn't have any immortals but the people who believe otherwise tend to think it does. Which for a universe like that of TES makes it perfectly acceptable to revolve around mortals.
Seriously, planets for gods, stars as holes to heaven, constellations as divines and a geocentric model, it's all Greek and Roman mythology. With gods being real, might as well go with the rest of the circus. Keeping that in mind, tamrielocentrism is probably isn't even wrong in so far it's used to describe Tamriel as the axis mundi.
What the Mananauts, Battlespire and impossible orbits in the Orery show is that the laws of physics don't apply outside of Nirn, at all. With that and the above in mind, mortal mental stress fits just fine for an explanation. You haven't actually offered an explanation that suits the observations better, and you've got your whole argument riding on a sarcastic Haskill.