First of all, I don't need evidence to speculate.
Second, people's public statements are not evidence, especially in a world where appearance and perception matter, and the media is out for blood.
There would be nothing to gain from anyone involved to admit to a disagreement. It would only send the vultures and hienas (Slothfields, Kents and co) into a frenzy, and further damage the club, which neither man wants.
If you think that anyone in those positions doesn't lie for the benefit of their club, players, colleagues, or themselves, you'd be extremely naive...