Olivia might be an obstacle yes if she believed George would oppose the idea. But then George hated LIB and they're doing that.
Dhani I think would be cool with the idea so long as it showed his dad in a good light.
Sean would almost certainly be concerned about some of John's stage patter so we could fully expect that to be cleansed away.
Paul would probably be on board.
It's a pretty tall order given that the performance does not align in any way with how people perceive The Beatles. The songs are obscure, the delivery ferocious and the stage presentation haphazard. Big Green's fallback position would always be "let's not risk this, there is nothing to be gained" so PJ would have to really push hard on it. I think eventually it might get out in some edited form, but not for years and years.