You forget that a legal system is a closed-loop system while learning the laws of the universe is (at least generally) not.
When proving the theory of relativity the universe will not suddenly decide to behave differently in order for you to have a harder time proving it. It's an absolute opposite in terms of the legal system.
So when you're trying to operate in an environment that is highly unstable and at times contradictory (killing a person is bad, killing a person who is trying to kill you is ok, killing a person who you thought was trying to kill you but actually wanted to talk is bad, what if any of the parties are lying as well?), then introducing Russell's teapot might just be as appropriate as following the proven path.
As the proof itself might be so weak that introducing something unproven might just be as plausible.