Well, as we discovered during the thread Intelligence and Halting Oracles - #22 by EricMH, your claims ultimately do depend on an affirmation that intelligence is a halting oracle, and that humans possess this intelligence, so humans are halting oracles.
And Josh has argued that halting oracles are a logical impossibility. In any case, it seems far from obvious that humans are halting oracles, and there’s a longstanding debate in the field of AI about the computational nature and power of the human mind. Even you seem to admit that there is no clear proof or disproof of the TTP.
So at least there’s one gray area there. You really can’t go on and pretend that this is all resolved by arguing over a straightforward mathematical proof.