do perfumes go bad
perfume can "go wrong" over time?

I mean perfume, not eau de toilette (there is a big difference).

Not so much to be serious as that of "rotten." The essences of plants / extracts which is made of get rancid. It will go bad quickly if exposed to high temperatures and if they chose to keep in the fridge that could make it last longer … but the application of ice perfume does not sound like fun to me.