I believe in ww1 British naval airships (essentially just big gas bags, or with a central spine) did accompany convoys in the atlantic - and successfully ride out the storms.
Problem comes with the rigid airships of Hindenberg / R100/101 size === differential wind stresses are huge over the distance of the frame (US Marcon etc used Zeppalin 'height climber' specs which were stipped right down to save weight in an effort to out-altitude fighter interceptors). However even these could ride put storms (Hindenberg did - it only came a cropper when it tired to land - indeed, being too low is what did in most of the big airships, although I recall the Brits did have a smaller one that caught fire after flyinging through a thunder storm and being hit by lightning)
There was a 'window' of maybe 20 years from 1920 to 1940 when military airships might have made sense ... they had the range, the bomb load and the ability to remain 'stationary' over the target (so better accuracy) - especially if they managed to hide in clouds / attack at night and went after targets that believed they were immune due to distance from any percieved threat.
But then along comes Radar and airships become little more than slow moving unmissable targets.. Whilst the long range heavy bomber steals their payload.