> Mathematics and science do have right and wrong answers. That's why physics, chemistry, etc. are "science" and not "religion" or "ideology".
That's an excessively reductio view of the practice of science, and frankly dangerous. I think you know better than that. I mean, is newtonian mechanics "right" or "wrong"? It can't always give you the right answer, yet we do teach it and we should.
Most science is working on the edge of what is known. The idea that there are "right" and "wrong" answers in practical science is what has supported peoples' belief that "hey, I heard of someone getting the vaccine and yet they got sick anyway -- what a scam!" or "Scientists said not to bother with a mask but to wash hands furiously, and now they want us to wear masks -- they don't know anything".
The reason I put "experiment" in quotation marks is a lot of "experimentation" in high school is at the level of "pour the solution from the bottle into a beaker, put a strip of litmus paper in, and record the pH." Everybody uses the same bottle of solution so there's one correct answer. That is not "experimentation" that is simply practicing a lab procedure.
"Experimentation" is open ended, and involves debugging. "Make a solution that has a pH of 7.2. How did you determine that? What attempts did you make and what went wrong." Or "reproduce the Millikan oil-drop experiment. What's the charge of the electron? How did it compare to Millikan's result and why?"
The "science is about facts" attitude is a pernicious meme in the public consciousness. It's just as bad as the deterministic teaching of history.