Back to the app. After setting some cookies, there is a link that goes to page two. Page two includes an embedded SWF. Watching the traffic on page two, I could clearly see cookies, user-agents, referrers, etc. all being sent as part of the HTTP request for the SWF. One interesting thing is that the referrer was page two, not page one. That makes sense, though.
So everything is clearly there, it's just not available to the SWF runtime. Any parameters on the query string are available. In Flex you can get to them using Application.application.parameters. This gives you a classic ActionScript Object, i.e. an associative array. So if you put the URL for the SWF as http://
Anyways, I thought maybe I was wrong all along, and just didn't know what I was talking about. It certainly wouldn't be the first time, and especially considering I didn't know any Flash 12 months ago. So I posted the question on Flexcoders... It's been about 24 hours with no responses, which usually means nobody knows the answer.