And many disagree as well. It also depends on which discipline of science you talk about say biology as opposed to psychology. Often the theory is cited as the "true" meaning and aim of science but as you mention its the actual people, the scientists and philosophers who are determining what happens.
In reality science is used as a blunt tool to control the narrative of what is regarded as real or not. As we see in this forum and in many mainstream articles its not just about the cold hard facts if you can call scientific measurements that. Its the interpretation of this and the practical application. When a new particle is found in physics its claimed a greater insight into reality has been found like its the God particle for example. Ontologically this is claiming what reality is and this is more than science but is metaphysics.
Any philosopher of science or well-informed scientist will understand that the models we make by interpreting our observations are indirect and limited descriptions of reality, at best.
The 'God Particle' is a popular media meme based on a misinterpretation. Leon Lederman wrote a book about the Higgs particle, that he wanted to call 'The Goddam Particle' but his publisher wouldn't accept that title. So he changed it to 'The God Particle'.
But its the type of inference in the first place that restricts encloses things to naturalistic causes. The observations are inferred as something natural or at least the methodology restricts it to this because that's the only way things can be determined. So its fundamentally skewed to begin with and there's no neutral inference that considers all possibilities including something non natural.
But if those assumptions are only measured in what is natural or physical then the only outcome that can possibly be found is in accordance with the assumptions. So of course the method is going to confirm the assumptions.
Its an enclosed and circular measure that will always confirm itself even if that means coming up with more ideas and explanations that inevitably lead to further confirmation according to those assumptions whether they are correct or not ultimately. Hypotheses become more and more complex to accommodate the assumptions.
I've explained this misconception to you more than once before. I'm sorry you haven't grasped it. Briefly, you can't explain the unexplained with the inexplicable.
But its the prior assumption of the methodology that nature must behave a certain way that makes the exceptions and those exceptions are based on the assumptions.
There is no prior assumption of nature behaving a particular way. Observations are made and explanatory hypotheses are tested. Well-tested, successful hypotheses may become theories about which we can say that they appear to be good descriptions of how nature behaves when observed.
If that's the case then this opens the door for ideas beyond direct scientific observation and it follows that ideas can possibly be beyond the natural. But as mentioned above this does not happen. The default view is to find a naturalistic explanation no matter what.
You said above that the methodology of science, "
restricts it to this because that's the only way things can be determined". Once again, I invite you to suggest a method or methodology that can determine what you say science can't.
It may be that experience is something fundamental that influences reality and this has been proposed by many. If you want to deny this based on methodological naturalism then this only proves my point that the method is being used beyond a neutral position and insisting that this is the only way to prove reality and is used as a tool to disprove all other possible alternatives.
That's not how it works, your logic is skewed. I'm not denying that "
experience is something fundamental that influences reality" - and if I did, it wouldn't prove your point in any case. What I am saying is that, in my opinion (and that of many others), it's not a good explanation by reasonable criteria.
But if you think it is a good explanation, by all means, show how that is the case. Your claim, your 'burden of proof'.