It isn't the CAA who will stop high speed ground run demonstrations (for that is what they are - let's drop the euphemism "taxi") it's the the insurers. If they perceive additional risk then the premiums will rise or they may even decline cover altogether.
What makes this incident so potentially dangerous is that you can do all the takeoff calculations in the world and calculate the maximum speed to which you can accelerate and stop in the available runway distance, but once you get airborne all bets are off. The options then available are to try and land in an incorrect configuration in the remaining runway available with no clear indication that it is sufficient, or to carry on and fly a circuit and land. Neither option is appealing and if anything the former carries the more significant risk.
YS