About 10% to 20% of people will bother to breed, which seems like a sustainable equilibrium:
https://evil.fandom.com/wiki/Robophobia
>According to the book Phobias: "A Handbook of Theory and Treatment", published by Wile Coyote, between 10% and 20% of people worldwide are affected by robophobia. Even though many of them have severe symptoms, a very small percentage will ever receive some kind of treatment for the disorder.