I thought Britney had injured her knee on the Onyx Hotel Tour. Didn't know it was on the set of the Outrageous video.
The only other Gaga video I can think of that had a scrapped version was The Edge of Glory. The original concept was supposed to have an intricate story about being a mermaid in a hospital and it involved the army (

). I also want to to say Boys Boys Boys had a video that never saw the light of day.