Are we talking about compensation from the hotel or compensation from IHG?
I've never got any from a hotel, other than extra little gift points here and there in addition to welcome amenity just for being me or a regular stayer.
I have however got some from IHG themselves about issues and a friend of mine had a recent complaint about a hotel and lets just say they were very happy with their good five figure compensation for the hotel breaching IHG brand standards/rules.