Depends on the individual situation.
For me personally, when I was younger, saving was not a conscious priority, any more than I would have said brushing my teeth is a priority. I did it without thinking, but am now glad that I did. It's not like I felt deprived in life, either. Never bought a new car, but so what? Got to do a coast-to-coast bicycle ride when I was 30, toured Europe with my wife at 32. Had I done those things in my 20's, it would have blown my life savings, and I wouldn't have gotten a house at 27.
I'm retired now, so adding to savings isn't really necessary or practical. But had I not saved regularly while working, retiring at the relatively young age that I did would have been difficult.