> We haven't been doing science for very long.
Again, this comes back to your definition. Many would disagree in that science has existed for, at least, as long as recorded human history because an actual tenable definition of science is something along the lines of "the endeavor to build knowledge by experimenting and observing the results". The rigor of the experiment is part of the quality of the science, not whether it's science itself.
No one is arguing that rigor isn't important to good science. It is important because rigor lends to reliable and valid results. What we ultimately want is results that are reproducible and can be used to predict. If you observe bad results, it's because you did a bad experiment, thus bad science, not that you didn't do science at all.
As an analogy: if I took notes during a meeting that no one can understand or use, that doesn't mean I didn't take notes. It just means that I took bad notes.