If men find it desirable then is it automatically desirable to women?
They hold more power deciding which job gets paid how much, which group of people gets a parade on July 4th (soldiers, not nurses), and which profession to glorify in the next credit card commercial.
So, yes: our impression of a job's prestige is formed by culture, and that culture certainly was–and largely still is–dominated by men. And yes, of course that culture has the same impact on mens' and women's views. They are people, you know?
How does that do anything to patriarchy except by reinforcing it?
If those who are not in the roles patriarchy has defined as desirable, and are in the roles patriarchy has defined as less desirable, by doubling down on the patriarchy's preferences, they have rigged the game and declared themselves the losers. How can equality be achieved?