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.