Are their any handicap for measuring Baboon middle management capabilities and capacities to account for the unique challenges of interpersonal challenges Baboons face with each other vice homo sapiens? I imagine smiling and showing ones teeth can have unintended hurdles if not accounted for.

What showing teeth does depends on their body language. I don't know

"The famous primatologist Robert Sapolsky has spent decades studying baboons and has described how status, alliances, conflict resolution, and coalition-building resemble politics inside human organizations"

Baboons are a good example for studying mammal social management strategies, which humans also do.

They are organized by dominance hierrarchy, like humans, but baboons have a distributed leadership.

I think we could learn a lot from baboons when it comes to management