About 1 month ago I was so lucky/ fast with the FAL-SS I got a Fury at the airstrip intro alone...the problem: The host changed right at the beginning and the cinema was like 0:30 seconds long only because of it! I don't think sending the cinema to a friend will make it suddenly longer. If you still want to prove you got a rampant your only option is to take a screenshot from your personal match statistics page on ND's blog. That's how I "saved" my lucky 42-6 score in TDM.
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I found the match on the stats page but how do you check what medals you got in the match? If you can't check, I can't prove that I got a Rampant.
Well then just be proud yourself. If someone is pressuring you and not believing you, let them be.
Also for the most part no one really cares about someone getting a rampant other than the person who got the rampant most the time.