My own subjective experience going from a 2560x1600 @ 30" using 2xMSAA to 3840x2160 @ 32" with no AA, the latter looks better. I played a lot of GTAV over the first few days of having a 4k monitor and a lot of the geometry, especially curved geometry doesn't have visible aliasing.
I posted this in another thread, the most visible aliasing that I see is between high contrast colours on lines which are near vertical or horizontal, the kind where the stepping is 1px offset every 30px or so, that occurred mostly obviously on the mini-map where the GPS highlights your route in yellow and the line is near vertical but ever so slightly off.
Otherwise things like geometry of the cars, this smooth changing curve, and even with things like thin power lines in the distance all look surprisingly good.
Remember that going form something like 1080p to 4k, that's 2x the horz and 2x the vert resolutions, so you're actually quadrupling the information per any given area (for a monitor the same size), 4k@27" ought to need it even less.
More generally speaking if you're running out of memory near the 4Gb limit you've probably already hit a bottleneck in frame anyway, I can't imagine even 2xAA is cheap at 4k, who cares if there's enough memory for it or not if the final frame rate is like 10fps anyway?