Why does Simon in Bridgerton not want a child?

Why does Simon in Bridgerton not want a child?

When Daphne angrily accuses Simon of taking advantage of her ignorance, he explains that he refuses to have children because he wants his family title to die with him.

Does Simon agree to have a child?

Simon and Daphne then share an emotional moment towards the Bridgerton ending and Simon ultimately decides to abandon his vow to never have children.

Did Simon lie about not being able to have children?

Daphne decides to get on top while having sex with Simon shortly after learning that he lied to her about being unable to have children.