You are far too generous to assume that there can be fields within which this will not happen. The anonymous peer review makes it inevitable that it must happen within all fields. And it has been consistently the case since 1927.
At present it is a roaring epidemic which is stopping scientific progress during an age where our very survival on this planet depends on new innovative ideas, even if in future it turns out that some of these ideas are wrong. If a referee cannot find obvious flaws in the physics and mathematics, but even so blocks publication because it questions accepted dogma, such a person is committing treason against everything science should maintain as being sacrosanct. In fact, this is such a criminal act that it should mandate the death penalty.
Eventually it is always the case for any scientific field. The peer review system makes it impossible to be otherwise. A “little better” will not solve the problem: We need a massive turnaround and one of the first acts must be to close down in disgrace institutes, like the Royal Society of London, which committed treason against the ideals of its venerable founding fathers.
I doubt that this would work: Persons outside a field are too scared to question the “wisdom” of the “experts” in the field. You will be surprised who I have approached and who could not find any mistake in my manuscripts, but refused to stand up for me since “it is outside his field”.
Yes, this is only the tip of the iceberg. That hacker should be given a Nobel Prize for what he has done for science.
Add to this the notorious fact that through the ages it has been consistently the experts which got it wrong. For example, the “expert” in the USA on flight stated (after the Wright brothers demonstrated their flying machine) that the public must not think that one day there will be large flying machines carrying millions of passengers across the Atlantic Ocean. Flying will remain the hobby of the rich. Thank God the people did not all have the mentality of Reality Check or else we would not at present have had Boeing 747's and Airbuses ferrying millions of people across the Atlantic.
The one I enjoy the most about “experts” is the study that had been done in England, quite a few years ago, in which people doing different jobs were asked to predict the economy within three years time. After three years it was found that the economists (the “experts”) fared the worst, while the garbage collectors fared the best. It seems that you can tell more about the economy by looking at what people throw away, than using mathematical models. No wonder that professors in Economy can use exactly the same examination questions year after year; since the answers change every year.
Another incident that I enjoy is the following headline in a newspaper: “Plane crashes: Something went wrong says expert”. I suppose that if the expert did not say this, Reality Check would have believed that the plane crashed without anything having gone wrong.