Joseph, we have the fact that the CC walked out when someone made disparaging remarks about Rav Kook at the first Aguda convention and the letter of his his son-in-law (http://daattorah.blogspot.co.il/2012/05/chofetz-chaim-chazon-ish-rav-kook.html). So either Rav Gorelik never said what is said in his name or he said it with a different inflection whose meaning was that the CC did not belieev the libels against Rav Kook.
As for the soccer players, Rav Kook protested against playing on Shabbat on numerous occasions. However, he felt that sport on weekdays was a worthy activity in order to strengthen one’s body. Moreover, he felt that by by showing how sport in general can be compatible with Judaism he could bring these young men closer. Here are his exact words in a letter to Rav Yoseph Mashash in 5688 printed in ?????? ?? ????” ????’ ??”? ?????, ??’ 109 ??”?????? ????”?” (???’ ???”? ?”? ??’ 473-474, ?????’ ??? ?”? ??’ 189-190):
“????? ??? ???? ?????? ?????? ??? ??? ????? ??? ???, ???? ?? ?? ??????? ????? ?? ??? ??????? ????? ??????, ?????? ??? ??????? ?????? ?????? ?????? ????, ??? ???? ???? ??? ???? ?? ?????? ?????? ??? ??? ?? ?????, ??? ??? ???? ??????? ???? ?????. ???? ????? ??? ??????? ????? ?????? ??? ????, ?????? ???? ?????? ????? ????? ??? ?????? ??”? ???? ?????? ?????? ???? ?????? ?????? ?????. ??? ???? ?? ????? ???’ ??? ?????? ????? ?????, ??? ???? ??????? ????????, ???????? ?? ??? ???, ???? ????? ?? ??? ??????. ?????? ??? ????? ?? ???? ????? ????? ???? ????? ??????, ?????? (?’ ?????? ???) ???? ????? ?????? ??????. ????? ????? ?? ???? ??? ?? ??? ?? ????? (????? ??.) ?? ‘??? ????? ????’ ??? ????? ‘??? ???? ???? ?????? ??’? ??? ???? ?????? ??? ????? ?? ???? ??? ??????? ?????? ??????, ??? ????? ??? ????? (?”? ????? ??, ??). ???? ??? ?? ?????? ?????, ?????? ????? ??????? ?????? ????. ???? ?? ?????? ?????? ?? ????? ????? ?? ????? ?????? ?????? ??? ?????? ????? ??????, ??????? ????? ??????? ????? ??”? ??????. ???? ????? ???? ???? ?? ???? ????, ??? ?? ????? ?????? ???????”