Do you think long hair makes women 50+ look older?

I have this argument with a female relative in her 70s all the time. She thinks that I am too old to have long hair, and I should cut it shorter. Not necessarily short-short, but maybe to my shoulders short. She thinks that women in their 50s and older should have short hair, because long hair drags their faces down. She is of the generation where most women cut their hair short when they got to about 30 or 40. 

I actually think that short hair can sometimes make a woman look older. A number of years ago, when we were in our 40s, a friend and I were stalking old acquaintances on Facebook.   We saw photos of a woman we used to know, who is our age, and she had cut her hair short. Both of us thought that it made her look 10 years older. 

I have said to my relative that times and fashions change, and women these days are far more likely to keep their hair long(ish) for a longer time. And the next generation even more so..... I cannot imagine my daughter or any of her friends cutting their hair when they're in their 50s or 60s. None of my friends have cut their hair short yet, except the ones who always had short hair. 

And before anyone says it, yes I know this isn't true for all people. Some people probably do look younger with short hair. 

If you are in your 50s or older, and still have hair longer than shoulder length, when do you think you'll cut it? Or will the world be full of 80yo women with long hair in the next few decades?