I think some (all?) of the Xrd games have the tutorials, but the XX games and earlier do not. I should clarify though, these are tutorial/practice modes, separate from the story, unlike DmC and such.
I haven’t played any fighting games in recent years because I can’t afford them, but the ArcSystem Works games (i.e. most of the big 2D fighters out there) do tend to be more technical than the 3D fighters, in that they rely more on combos and combo-breakers, while 3D fighters tend to be more movement-based, which is something that’s easier to grasp at a glance.
I don’t feel technical is the same as hardcore, because you can still enjoy these games without mastering their systems, whereas hardcore games are usually hard to progress in without mastering their mechanics. They have a very high skill ceiling, but they’re still fun at a lower level of play.
Where they do get “hardcore” is with the process of learning - their more precise nature means it’s harder to discover things compared to something single-player like DmC, where the game cheats in your favour (e.g. enemies have larger hitboxes than they seem), so you do have to deliberately put the time in by using training modes and reading move lists.