We'll see. I would certainly like this, but there's really no guarantee. Particularly since at least some of the consoles (maybe all) will be fairly RAM starved versus PC's. When porting a game from the PC there simply won't be enough memory to include high res textures ... so it makes little sense to use a 1080p framebuffer, vertices, and effects if the underlying textures aren't sufficient to take advantage of it.
In those instances, 720p with (hopefully) decent AA is what we'll likely see.
For stereoscopic mode 1920×540 per eye. Film Patterned Retarder (FPR) is emerging as the sterescopic standard in LCD and OLED displays. LG invented it and Panasonic and Sony are going this route with 3d capable displays. It's a passive technology.
This is not quite correct.
LG didn't really invent FPR ... they're essentially it's first pig promoter on the TV side of things. FPR basically refers to a circular polarization technique. It's possible they may have some specific patents regarding their particular design and process (and they may be licensing it) ... but it's not like they came up circular polarization 3D. Zalman had monitors available years ago that used it, etc. It's also not the only type of polarization for 3D usage, though I'm not sure if anyone else is bothering with linear polarization since it has some major drawbacks. I'd have to look into it a bit more.
It's possible 'FPR' is an LG trademark and its specifics are their IP. I'm just saying the underlying concept is not their own. I'll have to check if anyone else is using other techniques for circular or even linear. It's quite possible no one is bothering though and everyone is just licensing LG's stuff to avoid R&D. So it may really be a semantics debate ... I digress ...
The main thing I wanted to point out - and I'm not sure if you intended this or I'm reading into it - but it seems like you're implying 1920x540 would actually be how the content is rendered. That is not the case, as there are several problems with it.
First off, 540p is a bit of a misnomer in this case. There's a difference between stereo images originally received as, or converted to 1920x1080, which then have interlace filters applied to them before being superimposing, versus receiving a 1920x540 image to an eye. The former is what's typically going on here. The TV itself is receiving 1080p content and then interlacing it for each eye.
Moreover, 1920x540p or 1920x1080i aren't even mandatory 3d game modes of the HDMI specification. Actually the former (1920x540p) is available under mandatory 3d broadcast resolutions ('top and bottom' 3d), but it's only supported at 24fps. 720p60 top and bottom is also available, but that would mean 360p vertical resolution per eye which would be hideous. 1080i is available at 60fps as a mandatory 3d broadcast resolution, but that it using a side by side technique ... which would halve horizontal resolution, and is meant to be re-interlaced (essentially only meant for 24 and 30fps content). For 60fps content, it would yield obvious interlacing artifacts. Moving over to the gaming side of things, rendering an interlaced framebuffer really doesn't make sense to begin with. The cons far outweigh the pros, which is why very few titles have ever used this technique ... even back when memory was more of an issue. So realistically, you can pretty much guarantee that both eyes will always use a progressive framebuffer.
As it stands, the only mandatory HDMI gaming 3d format supported is 720p60 frame-packing. 1080p60 is part of the optional spec, but to my knowledge there aren't any TV's that support it. I recall reading there were going to be some at CES, but I haven't checked if it happened (Silicon Image may not have even fabbed the properly clocked Tx and Rx cards yet). Either way, obviously few would have TV's supporting it over the next few years ... so it makes little sense for a game to support it (before considering how demanding that would be).
The reality is, expect gaming 3D to remain 720p60 FP for most of next gen. Maybe some simply 1080p60 FP titles will eventually launch, but it would very few if any. As for how this works on the LG TV's you mentioned? The TV receives a 720p FP image ... breaks apart the two 720p images (one for each eye) ... upconverts each of them to 1080p ... superimposes them using an interlace filter ... and then displays the image.