I followed the link that you provided. It said this:
An ape is any member of the Hominoidea superfamily of primates, including humans.
And then it also said this:
Until a few decades ago, humans were thought to be distinctly set apart from the other apes (even from the other great apes), so much so that many people still do not think of the term "apes" to include humans at all. However, it is not considered accurate by many biologists to think of apes in a biological sense without considering humans to be included. The terms "non-human apes" or "non-human great apes" is used with increasing frequency to show the monophyletic relationship of humans to the other apes while yet talking only about the non-human species.
That seems to go directly against your point unless I've misunderstood. Are you sure this is what you wanted to link to?