But, the reason 'mainstream' scientists can say that, is because 'mainstream science' (the convention) is defined as 'Methodological Naturalism'.
Can you provide any references to such a definition. The
google page of "science" definitions does not even mention "methodological naturalism."
Methodological naturalism 'presupposes' that there is no external cause, and that the explanation for the existence of a creature (or organism), the earth, or the cosmos as a whole is found within the creature, the earth, or cosmos itself.
No, that's wrong. Science explains what it can on the basis of evidence, and leaves unexplained what it cannot explain. It does not claim to explain everything.
To confuse the issue, there are varying definitions of what methodological naturalism means, and the convention is in control of the definition at the present time.
Yes, there are varying definitions. It depends on which creationist site you go to for finding the definition, and which particular way that creationist site wants to misrepresent science.
The standards are not rigorous, other than they protect the convention from any serious challenge in a number of ways; from funding for opposition research: Denied... by smiling beaurocrats, to dismissal and intimidation of even suggesting such a rediculous notion as stupid and religiously motivated.
You need to document these charges. If you cannot document them, then you are bearing false witness.
When trying to define something as pivotal as 'science', should we presuppose as a convention anything at all, other than the search for the truth?
I am not aware of any presupposed conventions. Science uses conventions, but it develops those conventions as needed for the particular study. "Science" is difficult to define, precisely because it is not based on presupposed conventions.