Seems like evidence against the claim that status plays a significant role in setting salaries, unless their status has also increased massively in that time.
What is this inherent quality of high status for men?
Generally, status follows the possible utility one can provide for another, whether it be from being able to earn a lot of money, or having connections, having characteristics associated with positive stereotypes, or some other in demand quality.
Higher pay will increase status for whoever gets it, whether it be men or women or majority or minority. But the status follows the utility (or money in this case), not the other way around.
Drug dealing and Escort / prostitution provide significant income and poor status. Aristocracy had high status and sometimes little income.
They are not one and the same
All else equal, if you shoved high status men into nursing they would only serve to increase the supply of workers, thereby reducing bargaining power and thus incomes would be more likely to fall.
High status men become high status because they find places to go where supply is extremely constrained (naturally or artificially).
This is an interesting point, how much of the salary is determined by presumably impartial market forces, and how much of it is just status and social signalling.
We know status and social signalling play a significant role, otherwise behavioural economics and marketing wouldn't exist.
We also know that the diffrence between salaries of rank and file staff and C-suit executives have increased 15x in the past 20 years, without any corresponding increase in productivity
There is good reason to believe that if you could magically shove high-status men into nursing; nursing salaries would go up. But it's hard to see how it would happen unless we'd have equivalent of the draft for low status jobs.