I wouldn’t say he stopped all of that. I’d say he did it differently. I mean he still looted stuff. And, in the end, he was still a general. If the British forces had been dumb enough to field with a pyramid at their back (which would be dumb, that would get in the way of maneuvers) and he saw a tactical advantage in hitting it he probably would have. He might have had enough respect for history to complain about them putting him in that position, but a general’s job is to win and if some historical building gets blown up in the process that’s unfortunate.
Funny thing you mention the Coliseum, they historically grossly inaccurate re-enactments of battles there too. Taking real historical events and people and making “good stories” that aren’t terribly accurate out of them has a very long history. It’s literally what storytellers have done as long as there have been storytellers.
I remember a description of a naval battle re-enacted in the Colosseum after they flooded it. Maybe 4th century or earlier. Best wishes!