Hi Daniel,
The external monitor works great. I have at home one DVI, and at my work with VGA. Both options works great, on 10.5.4 and Windows XP. One thing I noticed (also a lot of posts here), with external monitor the dual core shutdown happens quicker. I need to try some "second core shutdown" on my office using my VGA monitor, but I noticed that on some situations, at home, if I unplug the external monitor when the second core is down, the 2nd core went back to normal. This situation happened playing video (Flash), and not with SL.
Is really trick, sometimes the issue seens to be only software, and sometimes a mixture of both, software and hardware. And the trick, is that the 2nd core shut down, even when the temperature is around 60C, i.e., normal.
I hope Apple was able to repair you MBA, and with that, we will know that they have a solution. With the number of posts, etc, maybe a recall if the issue turned out to be also hardware. I do not want to deal with a "laptop" that goes dead in the middle of a presentation.