While there's no scanning electron beam the electronics on these displays are still optimized for scanning. That is they push a whole bunch of adjacent pixels in every clock cycle. If you try to use those for random access your refresh rate is going to fall dramatically. The problem isn't whether or not each pixel can be switched independently it's how to efficiently address them and move data from the display controller to the display.
(editing with some more info)
If you changed the monitor's protocol to push X, Y, pixel and souped up the on-board electronics your pixel rate would probably fall by an order of magnitude. So your 80Hz display is now an 8Hz display (for full frames). In terms of how each pixel behaves they are independent (each has it's own transistor and capacitor) but the addressing is on a grid. So you can select your row and then set a whole bunch of pixels in this row (for example)...