Working in close proximity to a university, I can tell you that kids do still wear watches...just cheap digital ones or “costume jewelry” type watches.
I have nothing against cheap watches — I buy mine at Walmart.
The kids in SoCal, however, prefer to look at their phones if they want to know what time it is.
Things may be different in parts of the country where civilization has yet to collapse.
My nephew is staying with me while he earns money to get an apartment. I encourage him to wear a watch due to the fact that when he applies for a job or talks to a potential landlord, they’ll see it as a sign that he’s interested in being on time and is responsible.