Every single push-button start car I've driven has the ability of "engine off, radio on". On the downside my current car (2012 Mini Cooper S - push-button start

Every single push-button start car I've driven has the ability of "engine off, radio on". On the downside my current car (2012 Mini Cooper S - push-button start) will only play the radio for about 10 minutes (??) after the engine is turned off.