Every other great live performance out there would be equally as great if the musician replicate their performance in the studio. Great live performance is normally just the musician requiring an audience to psychologically inspire them for superior performance or arrangement of the song
Sunday Bloody Sunday from that movie is the only great live performance I am aware of where itís greatness is indivisible from being performed live. Where the narrative of the song reflects what is happening in real time at the moment in the stadium.
The arrangement produce a dramatic arc that was missing in the studio version. The studio version is a military march for peace
Rattle and him version shows the shock and numbness of learning about an atrocity (minimal arrangement intro). This progress to righteous anger and fury towards the perpetrator (the band kicks in). Using the anger to fuel determination to make a difference and inspire social change and create a movement. Making an inspirational speech to inspire people to join the cause. The audience interaction signifies that they are being inspired and join the protagonist in this social movement. The audience and the protagonist together then does a military march for peace (the military march drum intro is now place at the end of the song).
Playing the same arrangement in the studio (even with a fictional audience shouting no more) doesnít work as we donít have the intersection between the internal story and reality intersecting.