Well, many of the assumptions are incorrect, a few are correct. Many of the species listed as not being able to be kept can be kept together, many that say may interfere with another pairs breeding of same species are colony birds that breed quite well in multiple pair flocks. Many of the birds that societies are tagged with "may interfere" actually breed well with those species. The more I look the more faults I find, from what I have kept before both in aviary and cage setting as well as what other breeders have had success with.
The chart with the link is a chart, but it has many flaws, it is outdated and not reliable.
Maybe you can educate us better?