If a so called "communist" society did restrict people's liberty to play sports, it would not be any society I would desire to live in. Not because I value sports or anything, but because I value liberty.
Unless of course someone can explain to me how competitive sports are infringing upon the freedoms of others.
"The people have proved that they can run it... They (the pigs) can call it what they want to, they can talk about it. They can call it communism, and think that that's gonna scare somebody, but it ain't gonna scare nobody" ― Fred Hampton
“Mao Zedong said that power grows from the barrel of a gun. He never said that power was a gun. This is why I don't need no gun to do my thing. What I need is some freedom and the power to determine my destiny” ― Huey P. Newton