Why not just stick with "trial and error". If we make the word "science" apply to anything it loses meaning. We have enough trouble with the word "theory" as it is.
Because else we fall into the Philosopher trap of it not being science unless its beakers and labcoats, promoting the idea that science is some dry and sterile process that doesn't apply to the real world.
This thread is already, as was the design and was the intent, so far in the weeds of labeling the parts semantics it had no chance of ever going back, again as it the point with philosophy.
That being said you are correct to a large degree. What we call things is of secondary importance.
At the core what we have it two broad mentalities, a desire to have epistemologies that have standards and a mentality to have eptistimilogies that have no standards.
Science (or broader related epistemologies like logic, reason, empiricism, falsefiability, etc) provide a framework where it is possible to be wrong. This is unacceptable to many people.
None of that is science and calling it science is, again, to so stretch the term as to make it meaningless. Science is sytematic.
"Ideas are tested by experiment. That is the core of science. Everything else is just book keeping."
Stripped down to the absolute most basic conceptual framework if you have an idea, perform an action based on the idea, and then observe the universe to see what happens, you're doing science.
I'll stand by main point. If a claim/idea/musing/pondering it's not falsifiable it's little better then a mental creative writing.