But this whole idea of the rate of error in repeatability of a field ignores all the experiments that are never done again because the same phenomena is found over and over again.

In general I agree. But I don't believe you should claim a phenomena does not exist because it doesn't fit with mainstream science.

If you think science says what can or cannot exist, you would only be rationally correct (that is correct by whatever criteria you have specified), not actually correct because the best answer is unknowable, so far. Thus, I maintain my agnosticism about net power, but not cold fusion. Cold fusion isn't a real phenomena, but maybe some have obtained net power, or maybe not.