Forgive me if this is wildly known information I was not sure, but felt it should be put out there, just in case.
It is possible to skip the the fighting animation in Icerun Arena. It can be done the same way it is done in the campaign, by refreshing the page. Once the round is started, you can hit command R, then poof your at the victory or defeat screen. I have found this makes grinding for Icerun Vouches much easier for me and hope it helps others as well.
