Never said it was deep, but that it seems fleshed out, as in it has been given substance as in is a mechanic with substancial work behind it and not just an after though or something very limited as you worded it originally.
Saying that you don't like the puppet mechanic by declaring it "it's own thing" it's a completely different problem and colors your opinion in a different way. Your are obviously more troubled by how much different the game seems and not by how competent as new character action game.
In that sense i would kindly remind you how good change is in action games when driven by creativity and in the spirit of the original concept, games like DMC 3, 4 and 5 could not be more different from each other but yet mechanically they topped themselves each time, each game having it's specific drawbacks yet being undeniable still Devil May Cry.
A new character action game in a franchise without new mechanics is the most backwards shit, imagine DMC still playing like 3 because that was considered the golden standard for too long.
Edit: Also,
check this clip in replay again on 0.25, you can see the enemies flinch with every hit and the last one get launched to the ceiling and die without a wicked weave.
You can also see the combo route for the multiple wicked weaves move, it's definetly a wicked weave type finisher and is replacing the 5 punches combo, the animation it's even similar with the multiple hits at the end before sending the enemy fliying forwards. (it's not using any extra resources like witch power either nor prompting a qte like torture attacks)
The one in the train is obviously kick, kick, kick, punch which finishes with an uppercut.
There is a lot of information in the trailer about how the game is gonna play, you can see even which buttons are being pressed thanks to the score HUD and you can see when things are having special effects because of it too.
But it is, what it is, if you wanna pretend all those things aren't there or are not good changes, you do you, just don't state things like the enemies not getting staggered/"reacting" or the summon ability being "very limited" like facts.