Maybe not for the plot (since it's never referenced or brought up ever again in the film) but I think it does work thematically:
This would be the one real miraculous event in Brian's life. If anything, you would expect that a man who fell from a tower, got picked up by a flaming ball, and returned safely to the ground would be hailed as a holy person by all witnesses.
Instead, nobody gives a fuck and in the next couple of scenes Brian becomes a holy figure through entirely unrelated and mundane means.