to be honest, i can only see the Coordination to be some sort of bonus to skills yeah. but i figure it would help All the people around him ( like a large AoE buff) that breaks on combat?.
Since cooperation means several people working together,
so i presume it should count towards all checks ( like STR checks, Dex check, con check, even int and wis, without actually improving their stats ( if it breaks on combat, then a temp stat improve wont matter). to symbolize that.. Several makes are cooperating in developing their stragedy, several tought guys are helping and coordinating their efforts in pushing that rock.. ect.