I thought I had downloaded the same 31 page white paper from Jeff's llc site last week. Saw the same paper on https://mediacoin.stream/ establishing a relationship in my mind.
But it's entirely possible that I visited Jeff's website, didn't find the white paper and googled mediacoin to find the paper.
I do agree with you that these seem to be separate efforts. Unfortunately, the other team appears to be further along and better funded. And unlike the description about the Trademark "MEDIA COIN", the white paper is about block chains and their uses, primarily in the Media sector.