Joseph, we don’t know which one is worse. They’re definitely all wrong.
You also just want to argue about definitions. Look it up in a dictionary. Google pointed me to the Oxford dictionary, and here are the definitions:
Pedophile – a person who is sexually attracted to children.
Homosexual – a person who is sexually attracted to people of their own sex.
It says nothing about acting on the attraction, just that the attraction exists. The club is using this definition.