I think that reinforces a problem with the fuse 12 electrical path. If the hazards work through the switch, that draws power from the "always on" fuse 2.

It's also possible that your ignition switch could be going bad. The switch routes the power to fuse 12. Do other things like a sunroof (if relevant) or the horn also work, or are they dead?

I'd still recommend the voltmeter. That way you can see if there's +12 on the supply side of fuse 12, or if you need to trace it back further to the ignition.