What did you think you were going to be flamed for? It was right on! The way children are parented truly matters! It's not always a guarantee, but it's the best thing one can do for their child.
But, I don't think that sex outside of marriage is necessarily sex addiction. There are many sex addicts who act out sexually within their marriages, like by raping their wives. Some peoples' religious and spiritual beliefs do not support marriage, and if that works for them, I say go for it!
If children are not treated lovingly by their parents they will search for someone else to do it, and that other person may do it in the wrong way.
Will this prevent abortion? Not necessarily. If a girl is raised to be loving and to know she doesn't have to have sex with some guy just because he wants to, she can still get raped. She can still have contraception withheld from her.
One thing that would help is if girls were not raised to defer to men. That way when their husband or boyfriend told them to get rid of the baby, they would know it's not a man's choice, but a woman's. Too many women I know have had abortions because some lame-o man didn't want the baby.

True, you can always say it was her choice, but it she was raised never to disobey a man from day one, she won't know she had a choice.