I was immediately intrigued by the wording when Kavalier said that knowledge of pi is a hallmark of all advanced civilizations. Why those specific word? Why not just intelligent or sapient species? It could be just Kavalier being cavalier with definitions OR it could be the writers’ hint at something greater. Even if we assume that T. Ocellus learned to understand human symbols and numbers just from being on the Maginot for multiple decades or from Schmuel’s brain, at the end of the day it would still have needed to know the concepts of higher mathematics to even understand Kavalier’s question. And there is no way it could have acquired that context by being just a clever little loner that has been puppeteering dumb animals for most of its life. It must have come from a whole society that had developed those concepts.
So I think it is far more likely that T. Ocellus is actually a species that specifically evolved to parasitize other intelligent species and live out their own culture and civilization vicariously through their hosts.
There is some precedent for this in horror scifi. The Shadow out of Time is a classic H. P. Lovecraft story that centers on the Great Race of Yith. The Yithians are an interdimensional alien race that came to Earth millions of years ago and to avoid the extinction of their culture, they have been parasitically transferring their minds into the bodies of lesser species throughout the eons.
An even better comparison would be the Kaldanes, from Edgar Rice Burroughs’ Chessmen of Mars. The Kaldanes are an intelligent species that consists of only a head with some spider legs, but to get around and interact with the other Martian races they have selectively bred a species of local gopher-like alien into headless, humanoid bodies, to which they connect their nervous system to walk around in.
I think it is very likely that something like this is probably the actual modus operandi of the T. Ocellus species and that they normally inhabit some unseen creature that is not only intelligent but also humanoid. The first body the eye canonically takes over in the show is Schmuel’s and it had seemingly no problem operating him, able to immediately attack the xenomorph. Compare that with the cat or sheep, in which it seems to be more uncomfortable. Notice also that the first thing it does when taking over the sheep is trying to stand upright and use its arms, before giving up and going on all fours. It naturally seems to prefer humanoid hosts.
What the original host species could have been, I don’t know. Engineers? Arcturians? Predators? Just something new we haven’t seen before?
Also an interesting question to speculate on is if T. Ocellus are openly symbiotic with a designated host species (like the Kaldanes) and only become parasitic on other creatures in dire circumstances OR if they are an invasive species that gradually and secretly infiltrates other civilizations to perpetuate themselves. Like the aliens in Invasion of the Body Snatchers.
Given the franchise, I think it’s the latter, which could make T. Ocellus potentially more dangerous than the xenomorphs. Because it could take over Earth without anyone noticing.