Parallel installation of Resolve lite and full version

I wish Resolve full and lite would be one version - as a BM camera owner I switch my dongle between computers sometimes and of course it would be handy to still use the lite version on a computer that's currently missing the dongle.
I thought I read somewhere on here that at least a workaround would be to install both versions at the same time in parallel - but that doesn't seem to work either. I installed Resolve (full version) 11.1.1 first and when I start the lite version 11.1.1 installation I only get the message "A newer version Resolve is already installed, please uninstall it in Control Panel first."
So I guess there is no viable solution currently to use both full and lite on the same machine "interchangably"?
I thought I read somewhere on here that at least a workaround would be to install both versions at the same time in parallel - but that doesn't seem to work either. I installed Resolve (full version) 11.1.1 first and when I start the lite version 11.1.1 installation I only get the message "A newer version Resolve is already installed, please uninstall it in Control Panel first."
So I guess there is no viable solution currently to use both full and lite on the same machine "interchangably"?