Perhaps the depiction of the Orcish mindset, all the way from the 1E Monster Manual, to 5e, is actually a depiction of the *masculine* Orcish mindset, presented as that were the default, the norm, and the only side of the story. Perhaps there's also a feminine Orcish mindset, and neither TSR nor WotC have written about that mindset.
If they're hermaproditic, does it really make sense for there to be two distinct gendered mindsets? Seems sort of like an imposition to me.
I'm not the one speculating on orcish hermaphrodites. I'm assuming that orcs have binary* dimorphic anatomy, with corresponding gender roles, and D&D books have only ever described ONE of those genders: the masculine warrior orc perspective. (* I'm using the term "binary" as a rough approximation, which only includes about 98-99% when applied to humanity. Most humans fall into the "Big Two" anatomical phenotypes, and others don't, such as XYs with androgen insensitivity.)
The 1E MM describes orcs in terms of groups of warriors, all armed and armored. So does LotR, which only shows orcs who are soldiers. Did any orc in Middle Earth ever herd sheep or farm wheat? Is there such a thing as an orc child? if so, where do they come from? AFAIK neither the LotR books nor 1E mention anything about orc children, and never refer to any orc as "she". The Peter Jackson movies show Saruman creating orcs directly as adult warriors, who never experienced childhood.
Maybe Tolkien and TSR are only showing one side of a story... which actually has more than one side?
As for hermaphrodites with gendered mindsets, I recommend you read Ursula Le Guin's excellent novel "The Left Hand of Darkness".