I can understand your example with "to be". In Old English, it means "I am" - there is some state about me - both as a main verb and an auxiliary. But I don't understand why you think 'have' retains the meaning of 'possess' "I have broken the phone". Certainly, if you have broken your phone you possess a broken phone - but that's one auxiliary use and one main verb use.
Maybe someone else will understand your point, or let me know if I've missed something. You can at least study my corrections of your post.
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