I would argue that there are plenty of fields of science in which elegance is considered important.
Most prominently, mathematics. Mathematicians do run experiments, courtesy of computers, and it is the very field physics must so closely rely on. If mathematicians do not practice the scientific method, what the heck do they do?
That’s nice, but how does the Mathematical Method differ from the scientific one?
What differing insights do the ‘Math Goggles’ offer, as it were.