The video won't prove anything. It won't prove anything at all.
As they say, there's no proof of cheating, meaning no one caught you red-handed, neither with cheats nor with programs, nor with any kind of game manipulation. If anything happened, let it remain on your conscience.
But, to be honest, I just find it funny to hear about constantly pressing 'R', like in Heroes II, and about different operating systems...
Here's a question: Can you repeat this battle on a different computer and not on your version of the game, but with the same operating system that you have?