While you’re clearly passionate about this, that’s not how science works. The default claim is not by default true. Instead science calls it the null hypothesis. Then a rigorous study is performed to try to disprove the null hypothesis with a percent certainty. Failure to refute the null hypothesis often constrains the possible domain, which is where the philosophy “God of the gaps” comes from. What this structure does is promotes new out of the box thinking for very hard problems, even if they seem they actually are not provable or outright wrong. The tactic of trying to overwhelm the scientific process of very strong null hypotheses and weak counter arguments is called a gish gallop.

I think you may be conflating burden of proof with the effort involved in that burden. Without a rigorous effort, the default claim is less strong and has not stood up to scrutiny. While it may seem too obvious for such things, we now know that science and physics can get really weird and complex… So ideas like “I think therefore I am”, first cause / Kalam, all the way to modern logic and number theory, all bolster claims of Occam’s Razor violation in a rigorous way instead of hand waving. We can think the outcome is certain and a waste of time, but really out of it has come some fundamental and valuable research into logic.

We know this now, due to in large part very smart people trying to prove it can be done in scientific ways with real philosophical and logic systems, and failing… Not just non-believers saying it’s obvious.