I don't want to turn this thread into a CoD framerate/resolution discussion, but I don't know that eDRAM was the only reason for that decision as the PS3 version runs a lower resolution at a generally poorer framerate (talking black ops, using digital foundry as source).
Sure, it's not the only reason. The point I'm trying to make is that it's certainly important ( since CoD3) for picking a particular rendering resolution since it's essentially arbitrary.
In trying to hit 60fps, it's pretty clear that a higher resolution makes it hard. On one of the platforms that you don't want to do redundant geometry work (360 tiling). We know that MSAA can be done in a single cycle (2x on PS3, 4x on 360). While there are memory and memory bandwidth considerations, 2x is free for the ROPs (note because of said bandwidth considerations, it's not free overall. I'm just talking about hardware efficiency and not going to multiple cycle costs. Lowering the resolution will clearly reduce the bandwidth reqs anyway ).
So the question is then what resolution with 2xAA? Well, if you look at the 10MB per tile on 360, there's your answer. It should be clear that 2xAA 600p gives a better edge resolution & stability than 720p no AA, not just being an overall higher number of samples.
What happened on PS3 for Black Ops a few years later is irrelevant since that has more to do with pushing the envelope for other effects and shaders on the other platforms and trying to maintain parity. The point is that the 360 versions are still set to 2xAA @ 1024x600. That configuration sets the bar for their pixel shaders and alpha throughput, and if the other platform can't cope, then that's too bad.
The PS3 SKU also has less usable RAM as well, and the gap widens when you consider that resolves on 360 result in single sample per pixel (unless you purposely alias to a larger texture to get access to the multisamples). Also see Crysis 2's 1024x720 saving them 14MB of RAM for example.
Even so, we are again back to 1024x600 for both versions in MW3. It remains to be seen what the next title will do. If/when the 360 version goes below 1024x600 2xAA, then it is fairly safe to say that the eDRAM isn't the main concern - the per pixel effects are. I'm not leaving room for a deferred setup since that makes it much more difficult to hit 60fps for this sort of title.