Martelo, your point is extremely well made and needs to be emphasized, in fact. These typologies are like a suit of clothes. They are not who we really are in our deepest nature. That's also one of the useful things about them (and a point that I skirted around in my post above but didn't make strongly enough). When you have spent your whole life thinking, "I'm just a tortured soul, cut off from God, I suffer in a unique way," or "I'm one of the responsible people who hold society together by always doing the right thing," or whatever enneagram type you are, then you find out that lots of people have what you thought were your unique collection of traits, it helps you to see that there's more to you than your personality quirks, preferences, fears, etc.
I'm not saying this very well... it's helpful when you can see that they enneagram type or the Myers-Briggs type is just a costume, a role, a suit of clothes... that there is more to you than this, that this role can change, that YOU can change.
This "type" is not all of who you really are. It's the mental/emotional/personality clothing that you have worn up to now. You can grow, and you will NOT be changing your essential nature. Your essential nature by definition cannot be changed. These typologies are useful for understanding yourself and others but they are not set in concrete, nor should they be.
These are just tools. You said it perfectly here
Quote: It has been said "the map is not the territory." A model no matter how complex, is only an attempt to represent something that is.
And the map changes as we get to know the territory better and better.