Let's look at what changed and didn't change with DmC, shall we.
DmC failed to change so much that actually matters. Progression is still completely linear by the chapter system sticks to the series like gum in its hair, the enemies are still punching bags, instead of getting rid of the pointless platforming they doubled down on it, the weapon/style switching is still unnecessarily convoluted, they failed to shake up the level design,
The story is a retread of DMC1 and DMC3, the concept of Limbo has little impact on gameplay, the urban environments meets demonic wonderland amount to pretty looking skyboxes instead of actually interesting level design, modern trends like cinematic set pieces and forced walking sections, boss fights are interrupted by cutscenes and scripted events, they got rid of the lock-on which breaks the combat on higher difficulties, the Angel/Devil system restricts the freedom of the combat needlessly, the weapon switching is even more convoluted by combining a toggle based weapon switch with the weapon switching of DMC3 and the stupid weapon shuffling from DMC3, weapons are now light/medium/heavy which sucks the fun out of combat even further, the combat has less options because of a more limited move set even though there's two more weapons, Dante's Devil Trigger is the worst version yet as it offers nothing beyond an anti-grav feature and a generic power up.
No, people didn't hate DmC Dante because they "hate change". They hated DmC Dante because the initial reveal was absolutely terrible, because instead of taking the criticism to heart Tameem and Capcom's Alex Jones dismissed fan concerns and insulted them instead. They hated DmC Dante because he's much less of the goofy cartoon character that people loved. They hate DmC Dante because he fucks strippers in the intro, and lives in a trailer. They hate DmC Dante because he's dressed like he's hobo. They hate DmC Dante because of the nature of the reboot his character represented a regression of all the development the original version of the character had undergone.
You can argue that some or none of those things matter. Personally, I don't really care about the changes that much because gameplay is no. 1 to me. But no one hates DmC Dante solely because they "hate change". It's a completely embarrassing notion and something that sounds like a commenter on a Daily Mail article would say than a NeoGAF poster.
I'm sick to death of every DmC related thread being the same garbage ad nauseum. Random DmC stans insulting fans over trivial bullshit while ignoring the actual interesting stuff the game did because their interest in DmC will never be anything but shallow gravy, while on the other hand a bunch of DMC weekend warriors shout about how DmC was the worst thing ever and worse than DMC2 and while also failing to acknowledge the before-mentioned great additions to the formula that DmC had.
We're so goddamn lucky that people like Rahni Tucker and NeoGAF's own TribladeX were involved in DmC because I shudder to think about what kind of shit fest DmC would have been otherwise.
The best things DmC gave us was a fully 360 degree rotatable camera system, full 360 degree maneuverability in mid-air instead of the forced jump arcs of previous games, Ricoshot, Reverse Rainstorm, Aquila's mechanics, the changes to Vergil's combat mechanics and move set, Dojo/Training Mode, extensive stat tracking found in the options, in-game speed increasing by 10% at S rank and above, the changes to the upgrade system, the ability to try out moves before buying them, generally more intuitive menu system/interface, being able to quit and continue from the last checkpoint, secret missions being available from the menu, features like Turbo and Super Mode being toggles in the main menu instead of hidden in the options, almost no forced backtracking or puzzle solving, bosses get their own separate missions, environmental hazards which are useful in combat, enemies that can parry attacks mid-air/mid-combo, charge moves charge faster and are therefore much more useful, pause combo-switching (i.e. continuing a pause combo with a different weapon) which is accompanied by a controller rumble and the flashing of the weapon, moves with just frame properties for all weapon types and not just gauntlets, improved style visual UI as Style rank up is indicated by the letter filling up, the style ranking system in DmC DE which is the best version of any game in the series, toggle-based lock-on, Bloody Palace timer option, Must Style Mode, Gods Must Die as an official feature.
You're ignoring context. Merely an hour before we have a scene where Kat explains in dead pan about how she was abused and raped by her step father who was a demon. The tone of DmC, like the originals, is all over the place.
If people misunderstood anything about the story, the game itself is to blame.