Velocipedio, you still haven't explained how you can be right when the UCI doesn't even use the term the same way you do. If I can find 10,000 uses of the phrase "cyclo-cross race," that must mean that many, many people (including UCI) believe that the word "race" adds something to the meaning of the word "cyclo-cross."
You would like to narrow the definition, which is a fair argument. But you certainly can't honestly argue that using the term "cyclo-cross" to mean more than racing is objectively wrong.