In Agents of S.H.I.E.L.D., Phil Coulson clearly shows great favor to Daisy Johnson, something noted as suspicious by the "Real S.H.I.E.L.D." faction. The T.A.H.I.T.I. treatment did introduce some specific compulsions in Coulson, and it strikes me as possible that it might have similarly affected his behavior towards Daisy, predisposing him to protect her, possibly to the point of neglecting his other duties. On the flip side of things, it's also clear that he sees himself as a father figure to her, so his extreme protectiveness might be ascribed to that, and he's incredibly protective of all of his team, to the point of risking a major diplomatic incident when Bobbi and Hunter get in trouble with Russia until they tell him to stand down, that they wish to accept their punishment.
Is there any evidence in the show, or the behind-the-scenes lore, that Coulson's actions are being motivated by the T.A.H.I.T.I. treatment rather than his own personal judgment?