The most funny thing about Popper is that I don't get the impression that he or most of the people reading him seek to falsify his theories. Often because someone, as it's philosophy the rules of falsification don't matter. Popper didn't try to study scientists and how scientists come up with new scientific findings to try to falsify his hypothesis.
From a more LW perspective Lukeprog writes:
For centuries, philosophers wondered how we could learn what causes what. Some argued it was impossible, or possible only via experiment. [...] Then, in the 1990s, a breakthrough: Judea Pearl and others showed that, in principle, we can sometimes infer causal relations from data even without experiment, via the mathematical machinery of probabilistic graphical models.
Popper isn't really a recent thinker. He wrote 50 years ago. Jaynes wrote his book in the 1990s. Kahnemans works wasn't known before that time.
We have modern tools to deal with uncertainty like credence calibration. We have found that in cases with low costs of false positives trusting intuition is highly useful and that most experts make a lot of their decisions based on intuition rather than analytical reasoning.
I agree with gurugeorge response and see Popper the same way.
That said, I do think that although Pearl's work is great, the key word is "in principle" - the methods rely on a number of assumptions that you can't test (like independance) and he also says that the experiment is the only guaranteed way to establish causation (in his talk the art and science of cause and effect). I also may be wrong, as this talk was given in 1996, he might have changed his mind.
Moreover, your "trust your intuitions sometimes" is misleading: it is still no...
My favorite is that people get credit for updating based on evidence.
The more common reaction is for people to get criticized (by themselves and others) for not having known the truth sooner.