You are playing with the semantics. Logical universe vs universe that can be reduced to logical axioms.
Neither of the statements can be asserted.
BTW, many things that have been discovered by science are neither intuitive nor logical.
Good luck with your conjectures.
Good luck with your conjectures as well. Ultimately we all live out our beliefs an experiment in real time if you will.
Your belief's whatever they may be are similarly grounded in a priori truths which you cannot prove only assert. All beliefs trace back to the a priori aka assumed truths. Most people are unwilling or unable to actually question their foundations. Even nihilism is an assertion of this kind.
For clarity, however, I never said anything about the universe being intuitive. Nor do I agree with your claim that science has made discoveries that show the universe is illogical. I would argue the very opposite that the body of science is gradually revealing an highly ordered and logical creation.
"
In principle, we can know all of mathematics. It is given to us in its entirety and does not change.
That part of it of which we have a perfect view seems beautiful, suggesting harmony; that is that all the parts fit together although we see fragments of them only.
Mathematics is applied to the real world and has proved fruitful. This suggests that the mathematical parts and the empirical parts are in harmony and the real world is also beautiful."
- Kurt Gödel