Based on Nicieza’s description, it sounds like The New Warriors television series is primarily taking inspiration from the third volume of the New Warriors comics.
None of these heroes was the teen sidekick of an established hero and none of them, with the exception of DeFalco’s creation Night Thrasher, were original characters created exclusively to be part of The New Warriors.
I hope they use those elements in the TV show, because then, to me, it’s the brand of New Warriors.
First appearing in a two-part story in Thor #411 and Thor #412, The New Warriors were rather unique as far as teen superhero teams went.