The content used by the realtime editing subsystem is not synchronized with the real content

What I did:

• I opened two realtime editors at http://citrouille.loria.fr/xwiki/bin/view/Main/
• I wrote some text
• Things get a bit messy
• I saved the changes in one editor and canceled the other
• I edited the page using the standard XWiki editor to start over: I removed everything and wrote just an "Hello world"
• When I reopen the realtime editor I get the messy content instead of the actual "Hello world" content

I tested this with Chromium 6.0.472.62 (59676) Ubuntu 10.04