Well, you are talking about a new category or a new name :homomorph = homo+morph.
Ok, but where is the word related to pronunciation or ,better said,the part of the word related to sounds involved here [the Phonetics]?.
ex. brakes
breaks

In my opinion, the word "homophone" is better than anything else. Or am I wrong? I think that the emphasis falls at first on the sound and , therefore, there should be also the word "phone" a part in the composition of this category.