> is this also true for bricklayers and construction workers...?
No, it is not–and I tried to make that argument: you want female CEOs and politicians and software engineers not (just) for the sake of each of these CEOs and engineers. You want it because these roles come with power over other people, either directly, because they make the law or they design the software we all use. And also, quite generically, they are well-paid, and money is also power.
There are, obviously, no absolutes in this: I wouldn't for a second doubt that I, as a white male can be adequately represented by a black congresswoman.
But I can easily see that, for example, more women at the CXO level could lead to better company-financed childcare.
I think what's important to mention is that this isn't a zero-sum game where any advances by women create equal and opposite losses for men: when women fail to advance to the level that their skills would usually warrant (not just because they didn't get that top job, but also because they got the impression that they should rather go into nursing than medicine etc.), then we are, as a society, letting these skills go to waste.
To see this mechanism, just consider what would happen if we prohibited everyone born in the summer months to work: would that make it easier for the other 3/4 to find a job? Of course not: their loss of income would result in a loss of demand, and therefore jobs, of equal proportions.
This effect, together with the idea that higher diversity seems to also result in better performance of companies, should more than compensate any first-order losses that better representation may initially bring.
And, specifically to your question about bricklayers etc.: of course nobody complains about not having access to something that they don't want. But women being underrepresented in some of these labor jobs doesn't mean they're getting a better deal than men: the female overrepresentation in nursing alone probably makes up for it, considering how many nurses there are. And I'd even say us men have at some point collectively decided that housework is rather unattractive, and women do the vast majority of that.