They obvious answer is DmC, despite being critically well-liked, did damage to the series with the fanbase and thus sold worse than DMC4. They also didn't make up what they lost with new fans like they expected with a western Devil May Cry game in the first place. So the only obvious answer is to make nice with the new fans.
A DmC remaster, even with fixes, isn't going to heal those wounds on its own. A new game is too expensive to make outright just to smooth things over. So port up DMC4, add a fan-favorite character, prep the brand for rehabilitation regardless of whether the next game is DMC5 or DmC2 (because now the fanbase is happy knowing DmC is not wholly replacing the main series), and everyone's happy for relatively cheap.
I expect Capcom has a new DMC game in development, but damned if I know which direction it will go.
Edit: Additionally, DMC4 PC exists, so it's not even that hard a port overall.