Wrong. It's not more important.
Long term safety (from any threat) first requires a frame of reference within which A=A, water is wet, and fire is hot.
If you accept constant gaslighting along the lines of "that man is really a woman", or whatever, the goal of which is to put you into a frame of reference where A≠A or fire doesn't burn because it's not really hot, then you will wind up putting plutonium on your kid's Cheerios.
And bathroom laws can change overnight while radiation can be effectively forever.
To be quite frank, bathroom confusion can never reach the level of seriousness of radiological disasters, and it is just as far from reality to assert they can be so, as to assert that a man can be a woman.
Perspective demands that potential nuclear disasters be viewed as an immediate do-or-die situation with consequences on the broadest possible scale. It has the potential to do effectively permanent planetwide ecological damage. It’s practically the definition of things that need to be taken seriously.
It’s a whole different class of problem than having to be street smart when you see a man in a dress.