I think a feudal lord will still find female humans valuable
Automation is... coming for those jobs a well, soon it'll be a niche for those nostalgic enough to desire a human... touch. Damn, these puns write themselves.
But on the topic at hand, demand is capped by the intentionally rare elite status, but then so is supply. Luckily (for some), we've had great success in selective breeding over our 10k year run on this planet between discovering agriculture and the great filter.