As a final goodbye to the previous fanbase that didn't want this game.
Not a bad way to end it and if this does well in sales, continue with this. But it will be partially newcomers and casuals and some mix of the old fans.
If it doesn't do well, then release DMC5 or kill off the franchise as a whole.
I'm not as big a fan for this game as I am for something like Final Fantasy. And by that I mean I'll stick around and check out all FF titles whereas DMC I could abandon and pass on a title if I wanted. Anyways, the point is I understand what the fans(not the irrational ones) problems are and I sympathize. Maybe my suggestion is unrealistic, who knows...
I don't think Capcom need to remake DMC3 since they just recent made a DMC HD Collection.
What Capcom should do it to make another DMC games that fall in the time line between DMC3 & DMC1.
It is a bigger large time gap between the two games so it is possible to add a few Dante adventures between the time he change from a teen to an adult.
The human & the demon worlds are so big, it should be pretty easy to come up with a few adventures for Dante before he became his powerful adult version in DMC1.