I'd say the market has previously proven that's definitely false.
Consequently, AI porn will probably eat the bottom of the bulk market, with a much-smaller market left for higher-end human content.
Which probably isn't the worst thing... as the low-value pornography seems to encourage the most horrific, exploitive conditions.
Backhoes drastically reduce the demand for laborers (the traditional equivalent for men), and I don’t see anyone with reasonable options there either.
Notably, at least 90% of the laborers I’ve met would love to be able to get paid having sex instead of being laborers. But the market dynamics don’t make that a viable choice.
At some point we should get past make-work that creates horrible lives for people, when we have the capability to automate that work.
Not automating something so that someone will have a job is bad reasoning and traps society in a local rut.
Which population?
The situation in most well off countries is already that native populations have fallen below replacement rates. The result has not been to rejoice in the would-be crisis being averted but instead the crisis has been inverted and now those countries "need" to import foreigners to keep their economies from imploding. Or are you suggesting population control for africa and the middle east? Because I'm not sure they'll agree.
I agree that society needs to adapt to the post-scarcity reality but "population control" is and will always be something dystopian. It's also irrelevant because the more we automate the less people we actually "need" so no amount of population control will ever solve the underlying issue.