My question is about what こっちの方 refers to here. It seems that they are playing a game where one has to hit the ball and the other has to catch it without dropping it or they lose and this goes on in turns. The above excerpt starts after the first person to talk had the ball kicked at them(and them getting knocked over). Is こっちの方 in this case referring to his current role in the game(the hitter), and he is now saying that he gets the impression that the other person is going to be better at doing this than him?
and then this is where the rest of the conversation starts.