It looks like from the video it was a very minor quib from Wade at Dirk.
"Did yall hear me cough? I think I'm sick?"
They were walking underground/basement/garage area where there were pipes and possibly fumes?
I think what happened was Wade really was choking, literally and not metaphorically.
They both proceeded to cough and also lift their shirt to cover their nose and mouth, on multiple occasions.
I doubt they were seriously mocking Dirk.
It was not like the Cannucks' "bite-gate" that's for sure.