They don't go bad, but they can
go. Flavor compounds can be fairly volatile (easily evaporated). I have noticed this with my chocolate flavorings, as well as in juices I have made from them. They tend to diminish in flavor over time. But in general flavors do not go rancid or otherwise bad, other than fruit extracts, but those should not be vaped anyway. TPA, Loranns, Capellas, FlavorArt, are all simply flavor compounds, not extracts, and so should not go bad. You might store in the fridge, however, to keep volatility down.
As I think about it, TPA flavors are in glass bottles with a wide mouth...high surface area. The fading effect might be lowered by keeping them in a dropper bottle or using a eurodropper insert. The eurodroppers which come with 50 mL amber Boston bottles from SpecialtyBottles.com fit the 20 mL flavor bottles from TPA perfectly. I like using those so I can easily use a syringe (
through the euro's center hole), and there is no risk of spilling.