What if Band on the Run is always about the band running away. All we ever see is their backs as they run away. Then we've got these weird characters going after them...
Who plays these weird characters that obviously are modeled on the Beatles?
Well, Peter Sellers plays one (Ringoish)
Benny Hill plays one (Paulish)
Eric Idle plays one (Georgish)
and Peter Cook plays one (Johnish)
Our four Ishes keep getting in messes as they try to get autographs from the Beatles and never quite make it- but they constantly see them on TVs in strange places performing their songs... thus the videos of the songs in the film.
They see them on TV in a bar, in an airport, on the sidewalk looking in through the big windows of an appliance store, at a sweet old lady's house who has them over for tea, surrealy on a TV just out on the sidewalk with a long extension cord and who knows why it's out there, at a strip joint where the old-style burlesque stripper uses a stack of TVs like a stripper pole, in a barbershop, etc., etc., etc.
The whole bit of the film is whether they ever catch up to get their autographs and at the end when they catch the Beatles and get them.... then what do they do with them?