Wrong, EA is the Publisher, and exerts far less control over BioWare
http://www.escapistmagazine.com/news/view/123200-EA-Gave-BioWare-Complete-Creative-Control
Anthem story wise will be far better than Destiny ever dreamed to be, because its -blam!-ing Bioware, these guys write stories, from DA, to Mass Effect, even SW:ToR...and many many others...But if there's PVP...it's going to suck, because Bioware sucks at PVP. Always has, but their story telling, itemization, and replayability...oh that'll be there. And then you'll have EA's MTX shit to boot, which will be easier to stomach because the overall core of the game wont be -blam!-ing trash.
In comparison, Battlefront 2 was developed by DICE, who have a much different contract than Bioware/Mythic Bioware
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If we were talking the Bioware of 2005, then yes: it would be a better story. But we are talking the Bioware of ME:3 and Andromeda so.....