It certainly would be for skaters like Nam, who feed of the energy of an audience. Perhaps there are some skaters who would feel less nervous competing in an empty arena, but I'd hazard a guess in saying that those would probably be in the minority. Elite competitors are used to competing in front of an audience.
Agreed, imagine someone like Kurt Browning going out to skate to an empty arena. Would he still be Kurt Browning if he didn’t have the audience there?