Claiming that all observations which prove your theory wrong are incorrect errors and that all observations which prove your theory correct is evidence of stellar parralax as predicted by your theory sounds exaclty like what the authors from the previous links were complaining about.
There is a whole science of data error. You look at the standard deviation of all errors, positive and negative, and work out the probability of a given exception falling within the bounds of probability, or being a genuine outlier.
You recall the data on lighthouses. I did some more statistical work and found a very high margin of error in Findlay's results, particularly those outside England. You then ask the probability that the outlying values are statistically expected, or whether the indicate a fundamental flaw in the theory.
All measurement aiming at a very high precision will be subject to data error, precisely because of their high precision. Does that make sense?