The point you appear to not see is, in the analogy of mimicking a Cyclops, that I can close an eye and see things the same way a Cyclops would supposedly see things. No problems here.

But... my eye did not shift to the center of my forehead.

And that is the claim I am making, that physicists declare important aspects of the physical situation the same as zero (which is fine), and next moved the remainder of what they have left to the center (which is not fine).

They are doing something that does not exist in nature. It is an artificial option.

That's the point you fail to see so far.

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A black hole has only three independent physical properties: mass, electric charge, and angular momentum.

With the black hole 'no-hair' description in hand to declare what is missing compared to the normal reality, all other normal physical properties are either included in these three or collapsed into zero presence.

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They moved all that is remaining to a center position. They picked a centrist outcome based on their own idea inside their brains.

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That is like having a family member die and the family dinner table then shrinking automatically to accommodate that death.

The family can buy a smaller table because of the death in the family, but that is then a separate step. A table does not automatically shrink when a person dies.

The structure of the Black Hole is off. That is the whole point. The structure does not exist in nature, but can be created in artificial fashions by people.