Anthem didn't really feel like Destiny when I played the Alpha. But the one thing I couldn't shake was the feeling I was playing a SP MMO. I didn't do any matchmaking though, and that's probably the way it should be played. The world-building seemed good, story seemed like it had some decent elements there. I'm not preordering it (getting RE2), but am curious how it turns out. The ability to fly was pretty rad.
TL;DR - Anthem is not Destiny.