The idea of an absolute sacrosanct Scientific Method is contrary to what scientific research is about. It defines science to be an academic method.
So, assume that I have my personal system of doing research. I don't define the problem. I don't form formal hypotheses; I don't perform experiments (formal academic exercises) instead I use trial and error; I take frequent stratetegic naps to develop my ideas; I analyze the idea any way I like; I don't publish my results; instead I note my results meticulously on my lab books. I don't care anything about academic rules and ignore academics and their science fetish.... instead I make discoveries. I ignore the paperwork, and career considerations. . . I make discoveries. You recognize Edison's method. Are you saying that what I am doing is not science because I did not follow your step by step "scientific method?"
The scientific method is an attempt to brand academic physics as science and the rest as stamp collecting. This marketing gimmick actually has been working. People associate academic physics with science.