Bravo. Nice and concice. Unfortunatly I've found that many people don't understand "stateless", so your explanation will probably go un-heeded. But I'm glad someone posted about it.
I've got another one that I've seen a lot and hopefully people will read this and understand why they can't send cookie/session data between servers.
When you use a session it either sets a cookie on the users system or you have to put the session id into the URL as a GET parameter to be passed back to the server. The actual session data is stored in a file on the server. Got that? Good.
So if you try to pass your session off to another server here are the problems that need to be overcome (if they can):
1 - if you are using cookies the server you are handing the session to needs to be in the same domain (www.mysite.com, secure.mysite.com). If it isn't in the same domain then there is no way to get the users brower to send the cookie to the site.
2 - No matter if you are using cookies or not your second server needs to look in the same place for the stored session information. So if that's a directory (usually /tmp) on your first server then your second server needs, and has, to be able to read that directory to get the session data.
If you can figure a way around these 2 issues then you can freely pass your sessions to other servers, it can be done just not easily.