B) Valhalla was a dimension he travelled to regularly to celebrate the finest warriors in the after life. Why do we think his Olympian throne was on the same dimensional plane as us?
C) Why would we trust a human recording from so long ago to actually capture the happenings of celestial beings?
D) Ragnorak ended with massive floods. How do we know that didn’t erase all evidence on Mt Olympus? Geological records certainly support evidence for massive flooding explaining the reason it shows up repeatedly across religious texts.
Like seriously? You’re seriously arguing that this particular god’s historical existence is falsifiable? What’s next? The tooth fairy is falsifiable because all known instances are parent’s hiding money under your pillow?
Mythological beings have a degree of specificity and some degree of power. The more specific and the less capable a mythological being is of erasing those specificities the easier it is to falsify.
How do you even know that anyone else exists and this is all not a figment of your imagination?
From the perspective of the philosophy of science, it’s 100% impossible to disprove non-falsifiable statements. So scientifically speaking OP is 100% correct. Science has no opinion on Zeus. All it says is “here’s an alternate theory that only depends on falsifiable statements and the body of evidence has failed to falsify it”. Science can only ever say “here’s something we can disprove and we have tried really hard and failed”. Whether that lines up with how the universe works is an open question. Epistemologically it’s seemed a far better knowledge model for humanity to rely on in terms of progress in bending the natural world to our whims and desires.
So if you’re testing the statement “Zues was a historical being that physically exists on the same physical plane as us on Mt Olympus” then sure. That’s a pretty falsifiable statement. If the statement is “Does Zeus, a mythical god that can choose how he appears to humans if they can even see him and can travel between planes of existence, exist and live on Mt Olympus” is not something falsifiable because a god like that by definition could blind you to their existence. Heck, how do you even know that the top of Mt Olympus is empty and Zeus not that he just goes ahead and wipes the memory of anyone he lets return alive? Heck, what if he does exist but the only reason it was Olympus at the time because that’s what made sense to human brains encountering him in Greece. What if he actually exists in the core of the Sun?