This reminds me of the organizational paradigms[1] from Reinventing Organisations [2]
I think they map quite easily as:
Power oriented → Amber "command and control"
Rule oriented → Orange "predict-and-control" (management by objectives)
Performance oriented → Green "culture and empowerment"
[1] See "Exhibit 1" table: https://www.strategy-business.com/article/00344?gko=10921 [2] https://www.reinventingorganizations.com/