Not so, unless lost nutrition and bad flavor are totally fine. Americans eat a lot of moldy nuts, rancid olive oil, and stale coffee. Just Google for the expert opinions on these foods, and compare to what you read on the label of any mainstream, high-volume product on the shelves.
They're fine in the sense that they won't poison you and aren't worth wasting.
I'd say consuming stale coffee is totally fine. The only certain way (that I'm aware of) to get coffee that won't be stale is to grind the beans just before use, and I certainly do not have patience for that. I buy packaged coffee even if my hipster-y friends disapprove.
For a regular coffee drinker, a far more useful way to improve the taste of coffee is to remember to wash the pot of the coffee machine more regularly.
Not recommended: buying your cheddar this way. That tends to go a bit hard and crispy. Always found that unappealing.
Also not recommended: using this purchasing strategy with raw oysters.