Although I can see links from false cosmology to ɧoɱosɛҳųαƖity, I doubt others will. But I wouldn't doubt for a minute that a full and comprehensive study could identify the connections beyond dispute. The idea that everything's relative is directly connected to scientific relativity which gives the error a physical basis. The globe backs it all up because everything's relative on a globe. The bodies in motion theory completes the paradigm and these work together to promote the licentious world in which we live. False ecuмenism and Modernism are natural outgrowths of these errors.
Well, in a sense, the video itself gives a comprehensive study of the problem regarding modern society and it's extreme ills, and the connection to the problem of modern mankind not being willing to conform to the reality of God's creation. Modern man has gone very far off the deep end, in embracing the Descartes POV, where man himself is the starting point for judging reality (as is mentioned in the video). If man is the final determiner of reality, then man can do whatever he likes, without recourse to the mind of God. Hence, IMO, we have all sorts of crazy beliefs these days.
So, as is said in the video...."So confusion, chaos, and revolution inevitably follow, because you're starting with man." How can Man be the final determiner of reality, given his fallen nature? That's why we need Divine Revelation.
Yes, a globe earth, as you say, backs up relativism. Modernism is a natural outgrowth of it, but most Catholics won't see that. Father does address this in the video though (the problem of modernism not conforming to God).
Even though the priest in the video isn't a flat earther, he has the same concerns. Even though he seems to be a geocentrist, he at least has no interest at this time in bashing the flat earth. Which is a good thing, since there is common ground that we can work with.
It would seem that a lot a geocentrists do not share the same concern about the plight of modern man as being tied to an error in cosmology/creation. But the priest in the video does see the problem. Thank goodness!