There is no discussion to be had here. The kids don't care about which team gets their name on the website as champion. The winners were the ones who got that moment to celebrate on the ice when the buzzer rang. That's all they care about and all they'll remember. There is no taking away that memory. So congratulations to whichever team won that day on the ice and enjoy the memories.
That was weak. I bet you like every kid getting a ribbon for attendance!