Yes, but that wisdom and self awareness comes with ageing and I have those things having lived for over half a century and I have the life experience to prove it. You're right, society is to blame for ageism. We are taught that getting old is a bad thing and society is obsessed with youth but imo when you get to a certain age (well for me at least), you want to look like a mature woman, not going through a second youth. the thing is that a lot of these celebrities didn't look their age before the plastic surgery and some go too far with it that they look hideous. I don't know why people just can't be content with the wrinkles, grey hair and saggy skin. You can't hold back father time forever and your insides are going to age quicker than your exterior. I should know, I have been a parent for 20 years and have lived on this planet for quite a long time so have that age, maturity and wisdom that a young person could neve have.
I think more than ages or years on earth, life experience is the catharsis for wisdom and awareness. I remember when I first started working, I overhear someone said, "do you have 10 years of experience or 1 years of experience 10 times?" And I think that applicable to life as well. A 21 years old who had been so unfortunate to have experience many things show more maturity and wisdom than some 60+ years old people who been pampered/spoiled all their life.
For many years, I volunteer at an organization that allow me to meet various people from different ages and get a real close glimpse to their life because they came for serious help. Many young people who been through A LOT of life experiences will show that wisdom and maturity you see in a 50+ years old. It's even more apparent if you see some young persons who have escaped their home country and been through hell to get where they are, the horror they've seen and the trials they've been through. On the other hand, I've also help out 60-70yo man and woman who came running to me like a young 18 years old child, who for some reasons, life has spoil them in some ways and now they are lost, confused, and even worst, entitled and set in their way.
What I'm trying to say is the adage that age give you wisdom and maturity is really a miss/hit. Some people experience in 5 years what another may experience in 50 years.