The GOP base genuinely do want to end reproductive freedom (for other people, anyway). The GOP elite don’t care, but are determined to hang onto the issue as a base-mobiliser.
So, what I expect to see is a wave of state-based TRAP laws that render abortion effectively unavailable in the red states. Those will be appealed to the USSC, where the Gorsuch-reinforced majority is likely to uphold them.
Then, once the base needs riling up again, they’ll start talking about a nationwide Federal abortion ban, just to keep them interested. That process can be dragged out long enough to cover multiple electoral cycles.