“A philosophy of science can be logically debated, but it cannot be proven using the scientific method or by scientific experimentation.”
That is where we disagree.
We may have limited tools to prove some form of idealism at this point—but that does not mean we will never have those tools.
If idealism is correct (and I lean towards thinking it is) we just need to get very clever in designing proper experiments to establish it.
One highly debated example is the “hundred monkey” issue.
That argues that if monkeys in one location learn something other monkeys in faraway places will learn it as well.
I have no clue whether it is valid or not—but presumably a series of rigorous controlled experiments could resolve the issue one way or the other.
I’ve never heard of any proposed scientific experiment seeking to support any particular philosophy of science. I’d be curious to see such a proposal. Even the scientific method is rooted in philosophy and cannot be (as far as I know) proven with an empirical method. I think attempting to empirically prove the scientific method would be a form of circular reasoning.