The thought experiment regarding diversity challenges the (typically) inconsistent implementation of it where it's more like a candy story where you pick what you like (or deem socially acceptable) and dismiss or even discourage anything else. That's not true diversity. It's equity.

Similarly, as you suggest that representation matters, and if you'd consistently believe that, then we should immediately reallocate a huge amount of women to do the shittiest, riskiest, lowest paid jobs that men currently do. Likewise, we should immediately deploy a huge amount of men in female-dominated professions, like HR, psychology, the like.

I bet quite a few would now lose their appetite for "representation". We might as well just stop pretending and admit that we have no principles or beliefs, we just want whatever is best for us or our "group", whatever that means.