I’ve found that he indeed had slaves. Sure, he marry some of them but weren’t free at first. Chances are that those slaves did the domestic work for him.

Google says this:

“Prophet Muhammad (SAW) always supported his wives and helped them in household chores. He did his own work, and even helped in cooking and cleaning of the house.”

So the implication is that he didn’t consider his own responsibility/work. He “helped” not did his work. So he didn’t consider becoming a househusband even if it is clear that his first wife could have afforded it. Why do you think he didn’t?

Now, I’ve noticed that you haven’t answered, just tasked me with looking. I did. Now answer. What do you think about the prophet not considering house chores his own responsibility? What do you think about the power imbalance when he had several wives? He only had 24 hours a day, so he couldn’t pay them his full attention.

He was advanced for his time. But for today's standards, there is still some unbalance.