I don't think we can overlook the outcome differences between MD and DO. The education may be almost exactly the same but we can't pretend they don't face additional hurdles to matching-according to charting the match (
http://www.nrmp.org/wp-content/uploads/2018/04/Main-Match-Result-and-Data-2018.pdf page 15) 81% vs 94% of DOs vs MDs matched this past year. Even the highest percent matched specialty for DOs, DR, is below the MD average match rate (your first link, page 5). The most competitive specialty the DO chart lists, gen surg, matches at rates less than 20% that of their MD counterparts.
This is, of course, making the massive assumption that all DO schools are the same (a fact I know to be incorrect). I could believe there are a few less rigorous programs ruining it for the general whole. Honestly, my internal explanation for the differences are the 70 year old department heads who scoff at the possibility of accepting someone other than an MD. I have worked with DO residents who seemed prettyyyy similar to my MD classmates (not to mention international students who are much the same). But the numbers are still the numbers.
For the record, though, I would still take the DO acceptance assuming the "adequate fit" included a solid match list/rate.