I think you're attacking a straw man. No one is saying women are men's servants at their beck and call. We're just saying men and women are different and have different roles in many instances. For that matter, you might recollect that priests are servants of their parish, and the Pope is the servant of all, but these servants are curiously regarded by the secular world as the ones "in power" and "in charge".
No, they aren't saying it. They are acting as if they are saying it.
The rest are just words. The pope has a nun to see to his needs that most men in society have learned to do for themselves, like walking into an adjoining kitchen and getting your coffee (see Yallop's book on John Paul I). Priests in parishes have people waiting on them night and day. They need help. I know that. I wanted to be more helpful until I got the feeling that they take the help they get for granted. I had to pour coffee for one and my hand was shaking and he made a comment about it. I couldn't help it. My hands are usually steadier than that but he was a priest.
Those priests and the pope are only servants in the figurative sense. Reality is far different than that.