Someone on this forum (I cannot remember exactly were) someone mentioned that this is the nature of the human condition, perhaps due to an evolutionary advantage, to think of themselves as a subject. I tend to agree. I think that it gives us the ability to be free. Whether it is an illusion or not is irrelevant since it is not what we hypothesize of freedom passively that counts, but what we actively do when we reconcile the subject/concept with the object/percept by means of cognition. The thing-in-itself is not given in cognition as such it is what cognition makes of it. Yes this freedom comes with a price. The possibility of error, but that is why we can change our minds

I think it is the fear of error which creates dogma but we need not fear if we learn to trust our thinking, by embracing it wholeheartedly instead of ignoring it as a consequence of matter and therefore expecting to find an explanation of thinking in matter.
I do not think it is a necessary axiom. What difference would it make to the scientific method if it weren't?
Why do we have to make assumptions about something that is unknown?
Why does the unknown need properties before it becomes known?
Is it now good enough to get to know something by its properties?
We would only know if something was inconsistent by using the scientific method in the first place.
If you reject the need for the consistency axiom, why does this imply that we would automatically only discover inconsistency?
Why is memory not good enough?
Do you think we might forget what we know about something unless it had some form of axiomatic existence?
How is the pondering going?
Sure, if we need axioms of existence in order to trust our perception then the world will be an appearance. It will be an idol.