No, it leads to less children, decreased fertility rates and the eventual importation of people to replace the massive deficit caused by the quarter million a year flushed away.
And no I don't think society is better or healthier for it.
And I think there IS a compromise for both sides of making people happier, educated and more fulfilled. An option that is rapidly vanishing over time.
A population where women have access to birth control and abortions tends to be far more productive and have children who are better educated and better looked after than one where women are forced to have children they don't want and frequently end up being unable to get the education that is a cornerstone of the ability to function in a modern society
I used to find it odd how often the very same people who are most vocal about being anti birth control and abortion were also very fast to criticise women who a lot of children, or needed help with them, right up until I noticed the fact that many of those people also seemed to have a strong undercurrent of resentment towards women at which point it made much more sense when looked at as a way of controlling them (keep them stuck rearing children and reliant on their husband for all their financial needs).
This is most obvious in the likes of the US states where there are regular attempts to reduce a woman's rights, including one recent one where they tried to make it so the husband or father (if no husband was around) needed to give approval for an abortion.