I actually disagree that software is a static program. If a program always have the same behaviour, it's a pretty bad program. You need inputs and, as demonstrated by the recent LLM inputs, parameters you can tune to correctly address a specific context.
I would also contest the point about science being social. To me, science is the interplay between social constructions and physical reality. Which is why tests and experiments are so fundamental. Your point about software development as kind of like science is spot on: why not be exploratory/empirical in software development? Couldn't we imagine an LLM, say, that would go out and try to solve a question we frame? This seems strikingly close to autoresearch [1]