I am becoming pretty convinced that some of these issues are because of the on-the-fly compression is is sometimes turned on for moodle.org Once the site gets busy, the problem gets worse because users just hit "refresh" all the time. I just don't think that the Moodle.org CPU's have the capacity to compress the output. And the style sheet in particular should be static and pre-compressed for a larger site like Moodle.org.
I would suggest turning off compression and also experiement with setting a much higher value for style.php as suggested here: MDL-15629. That will allow for more effective caching of that file, which is huge.
John, thanks for your report. I'm reassigning it to Eloy for investigation.