Why? Because experimenters who got the correct value figured it must be too high, and ran the experiment again until they got a more-erroneous value, one that was nonetheless higher. Eventually it worked itself out.
But climate modeling isn't measuring something objective and static like the charge of the electron. It's prediction. I'm afraid that the incentives are to credit models that predict more warming just a bit more than those which predict less; the expected effect would be that the predicted warming effect would get larger over time.
Please note that I'm not calling climate science a "Cargo Cult", as Feynman put it; I accept the basic premise of anthropogenic warming on first principles, and see that historic measurements (not to speak of recent ones) show a warming trend. There is cause to be concerned.
Nonetheless, it would be surprising if climate modeling, which is inherently inexact and involves irreducible guesswork, didn't drift toward the more alarming, due to similar social forces to those identified in Feynman's essay.