Not magic at all. I have solar panels and electron wells. Wind energy around my environs is much tougher. The power company here burns coal. The less of their electricity that I use, the less coal that burns.
To your point, however, once a cogent third party says Yucca is safe over that term, the happier I am. The NRC is a self-serving adjudicator of this sort of information, and frankly, I have little reason to trust them.