The Typhoon does have an automatic recovery system that is initiated by the pilot (the button was on the panel in front of the stick). When activated by the pilot the aircraft recovers itself.
That's all very well, but is likely to be of limited use in display flying. as the pilot has to realise that he has lost control, or at least needs assistance to recover the aircraft. You then need to have sufficient height to allow the system to recover the aircraft. In a number of airshow accidents involving vertical manoeuvres running out of height, the pilot has invariably been flying the aircraft to the limit of its performance in attempting to complete the manoeuvre, often tragically coupled with not acting soon enough to use the ejection seat. An auto recovery system would not be able to do any better.
Medium to high altitude manoeuvring is obviously different and the automatic recovery system could be utilised - but that's not display flying, at least for a year or two until the CAA/MAA raise the minimum height and give all spectators binoculars........