I'm curious about the ethical implications of your last point.

The maximally pessimistic view, which you and Feymnan seem to be espousing, is that people explicitly put "put their thumb on the scale" so that they get the right number. That's clearly bad.

The PDF you linked presents it as a more emergent phenomenon, driven by how people usually work. It's possibly an argument for working more slowly and carefully, or the use of pre-registration, but it seems ethically neutral.

Finally, you could think about this as a form of Bayesian updating, which each experiment nudges our previous best estimate of the value. Obviously, it would be better to do this formally, but it does seem more rational than completely discarding the past.