liability insurance and collision insurance are driving related. Liability pays your liability of causing accident. Collision insurance covers your loss during an accident when you are at fault since nobody would be paying you.
Comprehensive insurance is covering non-driving related loss, such as fire, theft, tree fall etc.
When car in storage, liability and collision are suspended, and comprehensive is maintained.
Of course if you don't buy comprehensive, you are told all insurance are suspended, since you dojn't have comprehensive.