I'll have to disagree here. The weapon textures look better, the visor is obviously better, armor plates look at least as good and the parts underneath look more detailed, although the texture looks stretched in the first screen (it looks great in the orange shot).
Weapon texture looks about the same as Reach. Weapon textures in reach were generally 1024X, I can't imagine they're going to going higher than that, unless they were going to split the weapon models into multiple pieces and have those each be 512x or higher..which is highly unlikely since the 360 has such little RAM.
Visor is better, yeah, but that's not really because of textures. Chances are it's probably the same setup they had in Reach. It's a few different decent res textures, with a cubemap showing through and a yellow tinted specular. Damn nice shader though.
Armor looks like the set up as Reach as well. Looks like it was split into multiple(possibly interchangeable) parts, and textured that way. Reach had a base body texture, under armor texture, and then different textures for each body part. These ranged from 128(for the smaller things, like the grenade belt, arm accessories, knife, etc), to 1024(this was actually just for the base Mark V(b). Most of the other helmets and main body pieces were 512. So with this, we're probably seeing the 1024x since it'll be the "base" variant(if there are even others, which I REALLY hope there are). My only complaint with the hard armor portions is that it's very...flat, in terms of highlights. A really dull metal look. And that the scratches and signs of wear look like crap..mainly the elbows.
The under armor is what bugs me the most. Looks really low res compared to the rest of the armor. In Reach, the "rubber" bits on the body alone had its own texture that was 1024x. It was really clean and looked GREAT up close in-game. I'd post the texture but I'm..pretty sure that's illegal.