Not to my father, who is in his late 60s and the most at-risk member of the family, and who has been more opposed to the lockdowns than any of us.
His calculation is that at some point - for the good of the family, long-term - the economic damage and delayed social development of his grandchildren outweigh his personal safety.
I have encountered very few older people who don't also think this way.
It makes sense if we consider the possibility of novel life experiences to be an important value of how we live life. If you've made it to 60 (a not uncommon life expectancy), you've had a chance to travel, have children, live through many different life occasions, etc. If you're 20, you've barely had two years as a legal adult where you could make something of your life. It has little to do with economic productivity.
It's not about "usefulness", it's that saving the life of a young person produces a larger benefit in terms of expected future years of life. Take the extreme case: if a building is on fire and you can only rescue one person, would you be indifferent between saving the life of a 10 year old child versus a 90 year old with terminal cancer?
1. You get killed at 20.
2. You get killed at 60.
Which option would you choose?