I wouldn't be surprised if there is something to it, but I suspected they didn't use legitimate coin flips (because it seems like a large amount of people can't really flip a coin), and looking at the videos confirms it, at least for the flips done by Bartos:
https://osf.io/6a5hy/
They're very low RPM and very low time in the air. Nothing I would accept for any decision worth flipping a coin for.