Regardless what they want, they have very limited rights to anything over that. Nike can say that you can't name you new sneakers Nike. Can probably say that you can't name your business "The Nike Store" even if all you stock is Nikes, but can not cannot say that you cannot refer to Nike by their actual name to state that you sell Nike sneakers.

WordPress is the name of the software that they provide services about. There is no way to control who can simply state that fact.