No I actually know what those terms mean and I know Heavenly Sword uses them because of the comments from the devs, since y'know they post regularly at forums I'm a part of.
You don't even know what HDR is, anyone can make fake lighting. OMG PS2 character have lighting on them = HDR!!!!!!!!!!
Let's go through your points one by one:
1.You can see that the armour on her arm and her wings have an uneven textured look to them, right? That's normal or bump mapping. Probably normal as it's newer and better.
At best it's a bump map, at best. There's no faked geometry on those wings, if you want an example of normal maps look at Gears of War. A bump map adds "bumps" or the illusion of indentations etc, a normal map is a high poly version of the model that has had all of the lighting data stored and been pasted on the low poly model to cheat and give the appearance of greater polygon detail on the model than the regular model.
Yet again northing besides the main character has these effect if you'd even call that a bump map (it's very iffy) Heavenly Sword does it much more freely.
As for armor ridges, those are polygons.
2.You can also see that the sun disk on her arm plate wings and the jewel are sticking out and dented in. That is the effect that paralax or displacement mapping are intended to give. I don't know if it's actually being used here but that is what it's desgined to do. And it would make more sense as using that means less poly's in a model and there fore a better running game with more characters in it.
3.You see the glint on her eyes and lips (focused white spots), that's spectural highlighting
You know that specular highlights have been done since the PS2?
4.The way the light plays on her wings and on her hair. That's HDR lighting.
HDR lighting is High Range Dynamic Lighting, the game uses none.
Yeah there's some real sick HDR going on there, look at that luminosity!
5.Know what your saying before you make claims that a 5 minute search on the web can debunk.
they aren't even remotely in the same class reguardless of it N3 uses a bump map and specular highlight on the main character during a cutscene.
How about you post more than the cutscene model in an attempt to make N3 look on par.
And no I don't doubt that they're uses the 360 pixle shaders for the armor of the guys etc, that's some victory.