Playing BG Singles with my wife, we are sitting next to each other. She has a Dragons board mine is MEchs, both with divine shield on pretty much everything and her with the trinket that boosts dragons at the start of the combat.
Towards the end, it was she and I. We tied twice, but on my screen I won the second game - no damage was dealt to her when we got back to the tavern screen. The final round, while the win was calculated and I did hit her, again the screens played out completely differently, and dealt different amount of damage.
I have logs available if you want them