Well, it would be good news for the pro-lifers who actually want to stop abortions. It wouldn't be very good news for the ones who want to punish women for having sex and couldn't care less about abortions, babies, or children.
They exist.
There is a pronounced tendency among social liberals to assert completely sans evidence that a conservative stance on sexual ethics and morality is due to hatred, bigotry, or in this case some bizarre punishment fantasy. Many social liberals either cannot or will not understand the where social conservatives are coming from, so we get to hear this incredibly self serving narrative about how socons are bad people rather than people who disagree on the basis of ethics.
Why do conservatives oppose emergency contraception then?
There's a widespread view that pills like Plan B inhibit implantation. IIRC the latest studies indicate that this is not the case, but such information takes quite a while to work its way through the people. Regardless, the opposition to emergency contraception stems from a belief that it's an abortifacient.
You're probably correct that the right's anti-science views come into play. This is a party that seems to invent facts about how women's bodies work to suit their beliefs, e.g. Todd Akin. However, you have to wonder why conservatives took up that myth about emergency contraception. Did they just get uniquely bad information, or did the hear what they wanted to hear?
The science indeed has never indicated that emergency contraception inhibits implantation. If it does have an small impact on implantation, it would likely be less than ibuprofen. Since Republicans have never raised the idea of banning ibuprofen, it's pretty suspicious to me, especially since emergency contraception prevents abortion. Conservatives should be huge fans of emergency contraception and they would be if they were rational people who wanted to reduce the number of abortions.