I always hesitate to post screenshots of font rendering as you really need to be in front of the screen to see the true effect, however I think these pictures are informative.
The following is text rendered in Microsoft Office/Libre Office on Windows, then Linux, then OS X using the Arial Font. You can see the Microsoft are using grayscale AA, Linux uses RGB subpixel AA, and OS X uses grayscale AA + x2 supersampling.
In real life the outcome is that on Windows the text is sharp but spidery often with distortion of letterforms (look at the stem on the f of fox, or the difference between the two legs of the n of brown). OS X appears to recreate the font in a heavy bold format where nothing is distorted but little attempt is made to represent the letters efficiently with fewer pixels. Linux renders text very pleasantly, in a nice readable manner on a non-retina monitor. (Unfortunately the sub-pixel effect doesn't come across well in a screengrab, so the 2nd screenshot isn't ideal)
Sadly, OS X is just too bold everywhere for my liking. The logic seems to be just to make all the letters fatter at small sizes which does represent each letter with more pixels but is fatiguing to read.
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