Not at all true, the way you have worded it. Before I bother continuing this post, I need to ask you an important yes-or-no question:
Do you believe that actions taken by an individual that have negative consequences for society or others should have negative consequences for them as well?
(I'm going to assume that your answer is yes, otherwise there is no point in you being involved in a debate about moral issues.)
Wanton, unrestricted, non-monagamous sex is bad for the individual, bad for society, and bad for the children it produces. It causes unwanted pregnancies, spreads STDs, leaves broken hearts and lives in its wake, erodes the family structure, and levies huge costs on society for medical and indigent care. It is not a good thing, and people who claim they want to indulge in it are doing so at the expense of society, not just themselves. It is NOT their own private business if they spread an STD, create an unwanted child, or break up a marriage. Sex HAS consequences, the most obvious of which is pregnancy. By taking that consequence away with unfettered access to abortion for social reasons, the other problems (STDs, broken marriages, etc...) all increase in frequency.
Pregnancy is not 'punishment for having sex'. Niether is AIDS. Both are possible natural consequences of indulging in sex, and 'ameliorating' the consequence of pregnancy with abortion reduces the natural tendency to protect onesself from that consequence of sex, thereby increasing the risk of the others.
As a parallel, consider this: if there was a cure to lung cancer, but it didn't do anything about emphysema, throat cancer, or mouth cancer, would you continue to discourage smoking, or would you rationalize that since there is an easy cure for the biggest consequence, people should light up? Well, that's exactly what allowing healthy women to abort healthy fetuses is, it's telling them and everyone else that since there is an easy fix for pregnancy, bang away.
That is why I want to keep the consequence of pregnancy in sex, so that people will remember the other ones.
*chuckle* So killing them is better? Hold up, they're CHILDREN now? I thought they were just potential children?

You're, you're not trying to have your cake and eat it too, are you? Naaah, you wouldn't do that.
In times past, the unwed mother of a pregnant child usually found herself in an arranged marriage, a convent, or her grandmother's house (to secretly bear and give up for adoption) pretty quickly. Single mothers took a pretty strong hit to ther reputations back in the day, and sex was a lot less rampant as a result.
Sadly, this may well be the motivation of others. Nothing I can do about that.
Yeah, but we still don't know for a fact when life begins, and I'd still prefer we chose to err on the side of caution, rather than on the side of hedonistic instant self-gratification of our basest desires.
But that's just me I guess.