I figure it's not all that important, but what do I know? The way I tested to see if I needed it was by creating two players exactly alike except one with 99 response and the other with 60. I found no difference after a few matches between the two, but others would surely disagree and say it help you win loose balls, etc.
Personally, I think it's like aggression, and only affects the CPU controlled player, so for BAL it would do nothing if that's true. The thing with BAL though is that it's linked with speed, so if you are developing your speed it will come up with it anyway.