As I understand it, at least some of these groups are nominally pro-nuclear. They are aware that nuclear plants have a very long lead time, while wind (and solar) can be installed quickly. So they can advocate for nuclear as a way of fending off other non-fossil-fuel energy sources, without actually replacing any fossil fuels with nuclear.
20-30 years ago nuclear was a quicker path towards decarbonization than solar was. So pushing solar over nuclear made sense for those hoping to delay decarbonization.
Now solar is a quicker way to decarbonize, so similar efforts are anti-solar, pro-nuclear.