In 2015, we can still see young people listening to Pearl Jam. Ten was released in 1991. 24 years ago. 24 years before 1991 was 1967. Year of the Sgt Peppers. Young people in 1991 though that Beatles was music for mum and dad.
I graduated in 1991. The top 5 bands from my Senior Class, immortalized in our yearbook were:
Grateful Dead
Rush
Led Zeppelin
NWA
and I forget, but I want to say Queen
My high school may have been a bit odd. Jazz was much more popular than country and we had a fairly strong "neo-hippy" element (and probably why I still hate hippies). All of my friends listened to classic rock or rap, NOBODY listened to top 40 stations.
But kids certainly listened to the Beatles in 91, kids will be listening to the Beatles in 2091.