While it would be ideal to discontinue starting with DLC 3, it may create more issues in the long run.
Excluding PSN exclusive stuffs, there is parity across all 4 consoles when it comes to NF, weekly heroic, daily story, Xur (and other vendors), and a few other things that I may be forgetting.
To split console generations would then require a, for simplicity's sake, database split to have different content for previous gen vs next gen when DLC 3 drops. Not only would it have to change in game, but on b.net / companion app to ensure the correct info is in place for whichever console on which one is playing...
There is also a subset of players that utilize the same character across console generations (whether by choice or not, doesn't matter).
On paper, it could work. In practice, maybe not.
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Everything you just said makes perfect sense. However...even if it ends up in a bust, it would at least show that they are making an effort to improve. Even if it's the most botched botch of all botches, they'd gain face in my opinion.