It's not associated with a TV character, it's just a (new-ish) name that had a surge in popularity at a point in time, and now sounds dated.
It's also not an established name. Established names tend to be perennially usable (these are few and far between*) or cyclical - going in an out of fashion (Michael, Victoria, Rachel, Simon and Peter being examples of the latter - all classic names, but out of fashion at the moment.
Darren is up there with Wayne, Lisa, Tania, Karen and Barry in their own category.
They had a high point in popularity, but don't have a classic status to fall back on, and so are heavily connected (which means: dated) to a specific era.
Just my opinion. I have a classic but cyclical name that was deeply unfashionable when I was given it in the 70s, but is back with a vengeance now.
*C/Katherine, Elizabeth, William and George are usually cited as such examples, but I don't think even these names are perennially classic. Hardly anyone calls their daughters Elizabeth or Catherine these days, and very few people called their boys William or George when I was little. Even Sarah goes in and out of fashion.