I’d never heard about “earthquake weather” and as someone who used to teach a seismology class I’m doing my best to keep a straight face.
Two concepts were mentioned:
Earthquakes occur as a rusult of a certain type of weather - laughable.
Earthquakes might cause subtle changes in the weather - worth considering.
Certainly faint diagnostic attributes are present since yes, some animals apparently act quite differently prior to a quake. Burrowing animals often will refuse to go underground. Fish will jump out of the water. Dogs, cats and horses appear skiddish.
Something’s going on but it’s on a level too faint for we as humans to discern.