Based on the women I know, I'm not sure you're giving them enough credit.
It's not Democrat exploitation of this particular SCOTUS decision that's likely to make them pull the lever. The pro-choice women I know have been pro-choice for decades, and this specific court case is not influencing them in favor of the Democrats: rather, every single time there's a significant move to restrict access to abortion, in any state, it's Republicans leading the charge. It's been that way for years and years.
They are well aware of that. They are already prepared to believe the worst about Republicans on abortion. Not because of this SCOTUS case, but because they're right: Republicans ARE the worst about abortion, from their perspective.
It's a long-held perspective and a long-standing trend. Pro-choice women are not empty headed little bimbos looking to be led one way or another by either party. They pay attention to this issue and, from their perspective, they're right to mistrust the GOP.