Sealed, packaged dry yeast only needs to be stored in a cool (73° F is fine), dry place (plastic mylar packaging for wine yeast is also a dry place). If your house gets to, say, 90°F then full time refrigeration is necessary (or if you just want to routinely refrigerate your yeast that is also fine).
If you open a package, then you always should put in a fridge, and then you should bring it back to room (or cellar) temperature before using. Pitching in yeast direct from a fridge can cause temperature shock to the yeast, and is a more likely reason for observed yeast sluggishness or failure (not because it was stored wrong).