In the Albedo-verse, do any humans have "psi" powers, or is that something they built into their constructs? Or is it an accidental effect of their design?
That was a happy accident, or was it? The very long term intent of the experiment might have included that complication.
It seems to me to be something of a happy accident for our anthropomorphic animal friends. The accident may or may not account for the "psi" powers some manifest to greater or lesser degrees. At the same time it seems to not be such a happy accident for humans who seem to be extinct now. Maybe as a result of the same accident or maybe not.
In the DC world of the Great Disaster and similarly in The Planet of the Apes films as animals began to become more intelligent and human-like humans on the other hand became more and more bestial and animal-like and faced possible extinction as an endangered species. Here it may have happened differently.
It seems that whatever happened to humans the anthropomorphic animals were fortunate to survive. Perhaps they were protected in some lab(s). In some ways the different races seem to work together better than we humans do except for a few ambitious or hungry for power sorts. The less well off or poor seem to work together well on community development projects and help each other. They seem to think like we're all in this together. It's just the way it seems to me. I'm sure I'm wrong on some things.
In my humble opinion, there is a possibility that the anthropomorphics have developed these powers as a kind of evolution of their ancestors' instincts, except as psychic powers, something in the same style as the Newtypes/Coordinators/X-Rounders/whatever from several of the series from the Gundam franchise, where humans developed these powers as a result of emigration to outer space.
The Great Experiment was done far enough away from human space that what befell humanity didn't get the experimental population too.