It's worth remembering, above all, that the Republican party are not taking this stance to protect women and children. They are taking this stance to more closely align with their voter base, who are likely to be inherently anti-trans, in order to inflame a fear of "woke liberals".
A republican government might enact this policy, and it would possibly have a small positive impact on some people. But it would sit alongside hundreds of other policies that would be incredibly damaging for women, children and minorities. Single issue voters must not lose sight of the big picture. If you care about women, you cannot vote republican.