Sleeping through temporal storms skips them with no ill effects to the player/s. There should be a major drawback of sleeping through temporal storms.
Ideas for drawbacks:
Temporary lowering of max temporal stability
Health drain while sleeping in a temporal storm
Drifters do extra damage for a while after sleeping though a storm
The player has to use temporal gears to sleep through a storm, more gears depending on storm strength
Thanks for reading! : )