Agreed, but it is how he would be perceived by the electorate based on his own statements.
Here is Santorum yammering on about how he thinks contraception is "not okay" and how he wants to talk about it as President:
One of the things I will talk about that no president has talked about before is I think the dangers of contraception in this country, the whole sexual libertine idea. Many in the Christian faith have said, “Well, that’s okay. Contraception’s okay. It’s not okay..."
Sorry, but we are trying to elect a President, not a priest. This sort of talk is absolute poison to a general election audience. Santorum would lose in a landslide that would take our house majority with it. Rick would lose near the entire midde/moderate/indie/libertine voter demographic(s) that are open to our message on debt, out of control spending, etc, but will not vote for someone who wants to discuss things like the evils of contraception.
Part of the problem is that it is addressing the issue from the negative side. Rather than calling contraception (or whatever) bad, identify the opposite thing, sex saved for marriage and fully open to procreation, as good. This fits a biblical model of one role of good government (Romans 13), i.e. praising what is good.