I'm not sure if this is relevant, but there seems to be a difference between how Firefox and IE refresh.  When I go to your multiple example page in IE, change some of the content and hit REFRESH, the content does NOT change.  It stays the same.  When I visit that multiple example page in Firefox, change some content, then hit REFRESH, the content DOES change.  It seems as though IE's refresh is always a "full" refresh, whereas Firefox's refresh is not (perhaps Firefox's refresh combines it with a POST command?)

Also, interesting enough, back on my asp page that I'm having trouble with: if I type in some content into the CE editor (in Firefox) and click on the refresh button, the content DOES reappear after the page reloads.  If I hit shift-REFRESH (Firefox's "full" refresh") then the content disappears.

Hope this may help troubleshoot this.