No. I know plenty of people that expressly stated a desire to never have kids.
They had kids.
Thus, marriage exists for the benefit of children, even from people who change their minds.
You're arguing that if I've had a vasectomy and my fiancee has had a hysterectomy and neither of us want to ever adopt kids and are medically unable to have them, then we shouldn't be allowed by the state to be married.
You're also arguing that people who are too elderly to have kids or adopt them should not allowed to be married by the state.