DC movie franchise but not part of DCEU

Actually, the distinction between Marvel Studios productions and movies that are based on Marvel properties has become more apparent by general audiences, as soon phase one was completed with The Avengers people really started to see the difference between a legitimate Marvel movie where they are calling every shot( Iron Man, Captain America, Thor, etc.) to one which is based on their properties but primarily produced by a different party altogether( The X-Men's, the Spider-Man's, the Blades, the Ghost Riders, the Punishers, etc.) It's helped Marvel out a lot that with pretty much all their releases they use the "Marvel Studios" block on top of the logos for their films and have a special title sequence to play in front of each. Secondly, its clear as day that the X-Men movies do not occupy the same world as the Marvel Studios movies do, there is just too much in both franchises that contradicts the other its just impossible to think it were any other way. And both iterations of Quicksilver appear too vastly different to be the same exact character, and it wouldn't line up at all to think for one second that Quicksilver in DOFP is the same as the one in AoU, in DOFP Quicksilver is in his twenties and its in the 1970s, in AoU it is the 2010's and Quicksilver is not a mutant but an experiment with a very thick accent. 

It's called suspension of disbelief. Recasting roles in franchises is nothing new, the James Bond franchise - which you ironically used to defend WB's decision making with this Joker origins movie, has done it before and will continue to do so. Have a problem with it? Blame Howard and Norton for not being more professional and wanting to play ball.