DESKTOP_SESSION possibly not set correctly when using Cinnamon

[Robin Grindrod <robingrindrod@live.ie>]

Hi,
While trying to install a script that detects which DE is being used by
reading the DESKTOP_SESSION environment variable on a system running
Cinnamon, I noticed it is set to "lightdm-xsession". This is causing the
script to fail as it expects the value to be "cinnamon". There has been
a similar bug raised for MATE here:
https://bugs.debian.org/cgi-bin/bugreport.cgi?bug=775905
Is this also a bug in Cinnamon? Should I raise a bug report for it and
if so what package should the bug be on?
Thanks,
Robin