For argument's sake, let's say you live near a disposal/storage site.
It's underfunded, so it leaks into the groundwater. Or maybe they don't catch a leak in time. You develop cancer because of radiation because you live close to the storage/disposal site.
It's not an uncommon scenario. Fracking has done this with wastewater being pumped back into the ground (https://news.yale.edu/2022/08/17/proximity-fracking-sites-associated-risk-childhood-cancer), and even places like Whidbey Island in Washington state have dealt with forever chemicals leeching into their groundwater (https://www.whidbeynewstimes.com/news/navy-expands-testing-of-wells-for-forever-chemical/). Yes, we need a storage site, but people should have a say about what is stored near where they live... whether it makes a difference or not.