Hmm, I haven't thought of this use-case. I think this could also work if you put the registry entries into HKEY_CURRENT_USER (as opposed to HKEY_LOCAL_MACHINE).
If you'd like to experiment, you can change the register script to put entries into HKCU instead of HKLM. It might just work!
If you'd like to experiment, you can change the register script to put entries into HKCU instead of HKLM. It might just work!