Neutral line failures can be pretty weird, as can a failure of one of the primary lines. A power conditioner won't help in either of those scenarios, you need a power strip that kills the power completely.

Generally anything that's on when the issue happens is at risk. I've seen pretty much all type appliances get killed, often its the electronic controls that fry. But hardware with transformers tend to object the most.

FWIW, the power co is responsible for damages and should have a claims process.