Not a wrong concept in saving, but their goals are different. There are those who save for the short term, for example saving from spring to meet winter. Some are saving for the long term, for example they are preparing for their old age. It doesn't mean money can't be used, even if there is a emergency need, the savings will definitely be used if the monthly spending money is insufficient.
Whatever the term we choose, short or long term I think a saving will still define as a money that we set a side for a while, in use for later. Our primary goal on why we save is to secure our future so that we will have a peace of mind but life is unpredictable. We are living a healthy life right now but who knows we might experience a sudden pain which can be life threatening if not treated ASAP?
We are now forced to use a portion of our saving to treat it. The same goes if we get into accidents. It's useless if you will save but you won't still use it at the end because you are now gone in this world, unless if the saving is intended to your kids and other family members.
This is the correct concept of saving, because no matter how much we save from our youth, the money will definitely be used too. Whether it's to buy a new house, new car, or urgent needs. There's nothing wrong with us cutting the budget for the purpose of saving and that doesn't mean that money can't be used either. Precisely when we don't save our money, we are like "work today to eat today, tomorrow is tomorrow, the future is the future". we as the younger generation must start saving from now on.