The first article seemed a bit sensationalized (although it was still interesting) but it's actually the same thing happening in both. Chimeras are made up of cells that are genetically different, unlike most of us who have a single (mostly) consistent set of DNA throughout all of our cells. They still only have one set of DNA per cell. The lady in the first article's embryo fused early in development with what would have been her twin, but then developed normally aside from that, so some of her cells have one set of DNA and others have the other set of DNA. In marmosets, they just switch some cells while developing instead of fusing into one organism, but the end result is the same, just with both twins being born.
As for the auto immune issues, it makes sense that it could be a problem for chimeras but my point was that it is something that doesn't generally seem to be an major issue for them. The first article was kind of confusing with a lot of their terminology, especially the whole "two bloodstreams" part. If she has two different blood types then I am absolutely not surprised that she is having auto immune issues. Basically yeah it is something that could be a concern but I felt like it was over hyped and not very well explained.