I think his characterization was more important than his narrative arc, so I think dropping him into some new situation in the current canon is going to work out fine (whereas, for example, Kyle Katarn doesn’t have much reason to be there with the Rogue One crew around to steal the Death Star plans).
Luckily Kyle isn’t too intrinsically tied to the theft of the Death Star plans. He’s certainly known for it but in reality it’s just the easy introductory level to his first game. It’s completely separate from the plot of the rest of the game and his character arc. But that does bring up another point.
Whereas the Death Star plans aren’t that important to Kyle’s story, Dark Troopers most certainly are. And they make an appearance in Rebels this season. It would behoove them to cameo Kyle in some capacity for however long the Dark Troopers play a part this season. Given the huge internet reaction to the now sadly disproven theory that Rogue One was secretly a Jan Ors movie, they really ought to take that into consideration and bring the pair of them into the canon sooner than later.
And personally, I’d be perfectly happy with Kyle sticking to his original mercenary roots and leaving his force wielding days behind to Legends.