I think it depends on what mood Loigi was in when he set the cars parameters in Modena, my 4200 infotainment would default to the last run state so off would stay off, cd changer or Loudlink would stay selected etc. That said the sport button would drop out every time!
Don't think it can be altered (happy to be proven wrong though). Have you tried just leaving it but have the volume down as low as possible so you cannot hear it?
When my QP radio is on and I turn the volume right down about 30 seconds later I hear it again albeit low