Weather (and other big, uncontrollable, hard-to-understand things like earthquakes, meteor storms, eclipses, epidemics, etc) would just be where it starts, though. Once you've got the pack/troop/herd convinced that they "angered the gods", you can start being nitpicky over other things, and more nitpicky over behaviour (because storms and droughts aren't controllable by the priest-kings.)
Weather (and other big, uncontrollable, hard-to-understand things like earthquakes, meteor storms, eclipses, epidemics, etc) would just be where it starts, though. Once you've got the pack/troop/herd convinced that they "angered the gods", you can start being nitpicky over other things, and more nitpicky over behaviour (because storms and droughts aren't controllable by the priest-kings.)