Normally, the basic conclusions resulting from good studies are not rejected just because some error is present or can be imagined, especially when several people see the same behavior. Only in this field is everything rejected because an error can be imagined.
THH and others cannot imagine an error. They can only imagine that they imagine there is an error. They cannot think of any verifiable error, so instead they say it may be that "both the excess measured energy and the excess measured He4 both depend on the same variables." That is impossible. THH cannot suggest any way that might happen, but he thinks he does not need to be specific. Just proclaiming Impossible Hypothesis X or Preposterous Hypothesis Y automatically wins the argument in his world.
When you imagine that you imagine an error, you are twice removed from the scientific method. It is but the dream of a dream, as they say in Japanese.