Proven false.

Waste of nuclear power plants is the most well-regulated specifically because of the anxiety surrounding it. The environmental waste of fossil fuel burning is MORE radioactive than the environmental waste of nuclear power plants. The most potent waste of nuclear plants is contained in a small enough volume to place in concrete casks, submerged in large pools of water (which blocks enough of the radiation to make it lower than background levels), and stored on-site under constant monitoring.

If you're worried about waste, you should be championing nuclear power, not shunning it.

If you're worried about long-term storage, we have MUCH more time to find a solution for dealing with the contained waste from nuclear power than we do to avert the environmental catastrophe that's resulting from us continuing to spew carbon dioxide into our atmosphere.

And if you're wondering what the biggest danger actually is, it's the construction of the plants. Which is a uniform risk across all types of power plants, not uniquely high for nuclear.