Flew in and out recently. Perhaps crucially on a Friday and a Monday when the congestion mentioned was not a problem. Out of the terminal on arrival within 30 minutes despite an absurd 100 yard bus transfer from plane to terminal and a 10 minute wait at passport control. Coming back I advise not going through passport control until late - there are very few facilities. However the real problem was that my flight could not land due to high winds and we were put on a coach to Munich meaning a 7 hour delay. This is not uncommon at Innsbruck and means its effectiveness as an airport has to be questioned.