I'm pretty sure that the Adobe Phoshop Elements drops it's registration information into the standard Windows Uninstall key. Which is something that the repackager tends to ignore, quit rightly. Once I added a couple of those keys, User, Company and Serial or something then it all worked great.
The rest of the Adobe apps also check for the exact data of a particular "Main Class" registry key, if they don't find it exactly as they expect (Case sensitive and everything!) it then it tries to re-register that .REG file that's lurking in the Product folder.
That usually gets a locked down user upset so you should overwrite the windows installer setting with something which Adobe is actually expecting. Don't touch the Darwin identifier (Looks like gobble-de-gook in the ClassId, thats fine) just modify the default registry entry with a registry key that Adobe really supplies.
It will generate a new ICE33. This won't work well if you want to permission this same key but if you do it this way you shouldn't need to permission that puppy anyway.
Cheerio,
Matt J.