No, that the status of reality as independent of the mind is unknown and thus science relies on axioms and not proofs.
Sciences, particularly natural sciences or physical sciences, indeed don’t rely on proofs. What sciences do rely on, are evidence. The more evidence, the better to determine if a theory or hypothesis is probable or improbable.
So yes, I agreed that part of your statement that sciences don’t rely on proofs.
But with axioms, no.
In sciences, no statements, no concepts and no assumptions in models (eg theories or hypotheses) are considered true by default.
To be considered “scientific”, the models have to undergo tests, to find evidence.
And the tests can come from observations of the evidence or experiments.
Axiom, on the other hand, are assumptions and statements, are considered true by default, due to be self-evident or due to being “well-established”. Axioms don’t require evidence or testing.
Without tests, and without evidence, then any concepts, statements or assumptions are considered without substances, hence they are not science.
No statements in a new and untested hypothesis are considered true without testing and without evidence. Sciences are opposite axioms.
Axioms are more aligned with mathematics than with sciences.
But of course, some sciences, especially in physics, have and included some mathematical statements, like equations and constants, but these are equations are part of explanations that needed to be tested too. So the equations might not be true, if the evidence doesn’t support the equations.
Sciences always required evidence and explanatory models are subjected to the processes of Scientific Method (hence required testings, whereas axioms don’t.
It is funny how some people (especially creationists) tends to ignore that all scientific theories must be tested, hence sciences relied on evidence, not axioms.
You got it backwards.