I don't know how well the OLED tech will scale to desktop monitor sizes.
I don't think it has much to do with sizes.
I think it has more to do with the fact that OLEDs degrade with usage(lose brightness over time).
Well, that happens to pretty much all light sources including LEDs in a backlight of a LCD display, so whats the problem?
The problem is that in an OLED display each pixel is an individual light source. Some pixels may degrade faster than others.
With a monitor you will be displaying static images(windows task bar and such) most of the time so the pixels displaying the bright whites will degrade faster than the pixels displaying the blacks(which do not degrade at all, they are simply turned off in an oled display).
With (lots of)time some portions of the panel will become darker than others. Also know as burn in. This does not happen to lcd's since the backlight degrades uniformly across the whole panel.
With TVs this is not as big of a problem because then we display "non-static" images 99% of the time. So unless you watch the same channel 24/7/365 with a bright non-transparent logo you should be fine there.
That is my theory on why OLED panels in monitors may not be such a good idea until their life time to half original brightness is increased substantially.

