I think anyone, male or female, whose income depends to a great extent on young fans- footballers, children's TV presenters, singers aiming at a young audience etc- should accept that with that comes the role modelling job: if you don't want it, don't take the money. Other people, not so much.
The truth is, a lot of the income of e.g. football is generated by deliberately targeting and encouraging the star worship of young people and persuading the parents that this a good way to spend money.
If singers' agents and football clubs stopped purposefully making money this way, if they allowed their singers and players to be seen as anonymous workers whose lives (and paraphernalia) were of no interest whatsoever, because all that matters is the game/the music, that's fair enough. But they're not going to do that, are they?
There are actors out there who manage to stay fairly anonymous, despite being top quality. But they do it by foregoing money they could have made on things that are nothing to do with their jobs. They do it by accepting that the moment they stop being top at their job, there will be no money coming in from any source. And no recognition, either. Fair play to them, but it's clearly not for everyone.
As for Royal Family, I imagine not only a comfortable life but a whole lot of their self esteem depends on the idea that they are serving the nation by being in the public eye. So they have to be in the public eye, then, and do it in such a way as to genuinely serve the nation= be good role models. If not, then accept that they are serving no purpose at all as a royal family.