Here is an attempt to break it down: equality means that men and women should be treated equally, correct? So, let us start with this premise then.
If, as you suggest, it is OK for women to strip off, and earn a living from their bodies, then why do we not see a similar objectifying of male bodies? That would be equality. Men and women, using their bodies as a transaction. That would constitute equality.
We do not see this though. We see only women being objectified, sexualised, and demeaned.
You are, if I may say, misinterpreting where the power dynamic lies. Women are not the gatekeepers of power (in your thesis, they earn money from men so therefore they hold all the cards). Do you imagine that women who sell their bodies for sex, feel that they are in control, that they have another choice to earn a living? Or are they - because all power has been taken from them - having to do this as a measure of last resort? Please realise this is not a business decision, it is desperation.
If you truly believe that being naked, trading sex, or being objectified constitutes power, then ask yourself why men aren't getting some of that action? If this is the ultimate expression of power, why do we not see powerful men doing this?
The bottom line is, for centuries, men have made the rules. This is not open to debate. Men have dominated the legislature, and all vestiges of power. Ergo women have been disadvantaged. If women were writing the rules, then what they contribute to society would be genuinely valued. At the moment it isn't. Women are still paid less than men for doing exactly the same job, and they have to try to keep a household running, have children, raise them, and go out to work. They are not valued for their contribution, but maligned for how they look.
I do not believe that it is productive to have a polarised debate where men are cast as evil, and women are cast as "weak". I think we should be working harder to help one another, and understand that for so long women have been treated as an underclass. That reflects badly on us as a society. Exploitation does not equal power. It is much like your man arguing that black people chose to be slaves! The way forward, where we all win, is men and women working together for the betterment of society. We should never aspire to anyone (man, woman or child) being demeaned, objectified, or exploited. That diminishes all of us. I believe we are only enriched by supporting one another, and empathy is the path to a better future.