Ah, but you see, here we have a problem. If you claim that your favorite technique has a big measurable impact on software development costs, then observing them shouldn't be hard at all, even without careful empirical studies. There are many problems with free markets, but applying selection pressures that quickly pick adaptive techniques is something markets are actually good at. And if your claim is that the benefit is not easily measurable because it's not so large and decisive, then why is your claim important at all?
And, BTW, I think the preference for a programming style is very personal. I learned and used FP before I learned OOP, and I like both (maybe for different things), but I can't say I have such a strong preference for either. They're both OK.
> but only Coq and Isabelle/HOL is used for the biggest projects like Cake ML and Comp Cert. Both of those are proof theoretic tools.
Coq and Isabelle have so far only been used to verify deep properties of tiny programs, up to ~10KLOC; that's 1/5 of jQuery. Even then the effort was huge. Model checkers have been used on much larger programs, and, at least for small programs, they're commonly and regularly used in industry (especially in safety-critical hard realtime systems).