They run betas that you have to preorder for/buy another game and get beta access as a perk quite often, yeah. And sometimes just properly open ones as well.
They're also looking into early access like on PCs.
Not sure that'll work.
Tbh, I've played Destiny Alpha and Beta and i'll get the full game so not been on it too much. Just tried the different class types and a bit of Crucible (Deathmatch).