The fossil fuel companies like nuclear, because they know that nuclear takes a really long time to build. So it's a great distraction from wind and solar: "Hey, stop building this thing that can be done right now, and instead start on a different project that will take decades to complete, while we continue to sell fossil fuels."
Nuclear plants are often delayed because of the open questions, like what they're going to do with spent fuel, and how they're going to pay for the entire lifecycle of the plant (which contains a lot of hazardous materials), as well as high-profile accidents. So they make a perfect target for fossil fuel industry whataboutism, to spread FUD about wind and solar.
