Well, that's certainly the conscious rationalisation. IMHO, to most anti-abortion "pro-lifers", it's far more about criminalising human sexuality, and retaining pregnancy as threat and punishment for premarital sex and especially for being a "loose woman", although I'm happy to acknowledge this is largely subconscious for many. Thought experiments like "the fertility clinic fire" go a long way to support this idea, IMHO.
NB There is a difference between being prolife and being an anti-abortion "prolifer", IMHO, although we don't really have commonly accepted terms that distinguish the two. I conider myself prolife, and personally oppose abortion. I often find myself at odds with anti-abortion "pro-lifers", however.