Well, only some are. And most of them are looking at it without very strong weights on three of the five most widespread moral intuitions. (See The Righteous Mind, Haidt, 2012.)
The reason why moral intuitions matter is that they ground our feelings about the value of human life and the sanctity of various things (woman's body, baby, etc.).
Part of the reason that pro-choice people have so much trouble communicating with pro-life people is probably because it's one of the modest number of cases where a left-leaing policy is backed up by a strong feeling of sanctity--except it's applied to the woman's body rather than the developing child. Leftists don’t even seem to have the vocabulary to movingly talk about sanctity.
Conservatives--and this is backed up by research--are more adept at balancing the whole set of moral concerns than are leftists. Conservatives predict leftist behavior better than leftists predict conservatives.
So I think you should rethink who actually has the narrow view. You can find some very narrow views on both sides: pro-choice advocates who only see "it's about my body" or "it's about her body", period. No complexity, no gray areas, just the inviolable right to self-determination. And you can find anti-abortion advocates who put their money where their mouth is and fund child support services, and make more sophisticated arguments about the responsibility taken on when having sex, etc..
It really matters if you're considering the best arguments that there are against abortion rights (which I don't personally find compelling...in fact I find that they are objectively flawed...but they are not just simple dumbness), or about the most basic mass opinion, in which case it's only fair to contrast to the basic mass opinion on your side (which is also pretty simpleminded and poorly examined).