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The thing you're wrong about is the reversal uproar. Male-owned companies and the men who run them are highlighted all the time and no uproar ensues.
This is sort of like asking "where is white history month" when the real question should be "why aren't all the months also black history month?"
I think we can all agree that most brains' classifiers have associated corporate ownership with men. So, saying it's a corporation and then saying it's female-owned cancels out to (gut feeling, perceived) neutral, or at worst goes over to slightly female-biased. Saying it's a corporation and then saying it's male-owned would have double intensity, and go over the edge.
If you don't already think of corporate ownership as male, then emphasizing female ownership would push it over the (female-wards) edge for you.
If the table stretches from -1 to 1, 1-2 is OK while 0-2 is not.