Validated by Tony Milano's FBI file which was recently posted by Antiliar, especially with regards to Triscaro.
From that document, various informants, circa 1964 to 1968, claim Triscaro was "strategically placed" in his Teamster leadership position by Milano. Different sources state Milano "disliked" or even "hated" Triscaro but was willing to let him keep his union job as long as he continued to "take orders."
As the narrative continues, Triscaro gradually begins to ignore/disrespect an aging Tony Milano, which apparently led to the rise of John Nardi. But this passage says it very succinctly about "Non-Made" guys, and it likely was standard operating procedure for all families, not just Cleveland: