For whatever reason the team just don't seem to draw in a crowd like more successful groups like the Avengers, X-Men, or Guardians of the Galaxy. In canon there's a stigma to them they've never been able to shake since the Stamford Incident that no one seems willing to let them forget even within the superhero community, regardless of who was there at the time. Even before then the team has never been all that widely respected by characters like the Avengers going off what Cap & Tony said during their sit down with Justice & Speedball during the comic's last run. Yes particular members might garner more respect outside the team as individuals, particularly Nova because of his role during the events of Annihilation and Firestar who can (and does) always fall back onto the X-Men and mutant community. But generally the members of the team are looked down upon for their affiliation to the New Warriors to the point that it's like they're generally viewed as being tainted from their time on the team.

That being the case should the New Warriors take a page out of Alpha Flight and just relocate to the cosmic landscape?

I know that Marvel already has plans to bring the New Warriors for the Outlawed event and it's cool to see them trying something with the team again but I feel like it's going to be treading more of the same ground they've covered since Civil War. Ever since they cameo'd in end of Annihilation: Scourge I've felt like Marvel could have taken the opportunity to try something with the New Warriors that, while admittedly doesn't always work, could have been a massive paradigm shift for the team as a whole.
Honestly the move could benefit the team as a whole, especially depending on the roster they decide to use given that a number of the teams members either have some connection to space or could easily adapt to the transition. Both Nova(s) and Darkhawk get their powers from technology that's alien in origin, all the Scarlet Spiders have been clones which are rife for the sci-fi landscape of a space opera, Haechi is an Inhuman, both Sungirl & Night Thrasher are exceptionally intelligent people who have created and use advanced technology, Justice has a temporal doppleganger running around from an alternate timeline in the form of Major Victory that has actually served on multiple iterations of the Guardians, Alex Power & his siblings all got their powers from a dying alien, Ultragirl is half-kree, etc.

Rolling one of the Nova's, be it Sam or Rich, to help promote the comic as Nova & the New Warriors until the series finds its footing by capitalizing on the popularity of the former. Given everything that's going on with Rich and the Nova Corp right now, having him rally his old team behind him to help pick up the slack for Nova Corp being gone and everything happening in the wake of Scourge, Thanos, etc.