I generally agree with your position, but let me be the devil's advocate here:
Let's assume that some fraction of the population are Nazis, and they decide to boycott all Jewish products. Let's assume there is a general agreement on the definition of "Jewish products" (for example anything produced by a company with a Jewish owner, or using such component). The Nazis express a desire to have all products clearly labeled. Would you support this specific customer right?
Basically: How does one pursue the truth when direct engagement with evidence is infeasible?
I came to this question while discussing GMO labeling. In this case I am obviously not in a position to experiment for myself, but furthermore: I do not have the time to build up the bank of background understanding to engage vigorously with the study results themselves. I can look at them with a decent secondary education's understanding of experimental method, genetics, and biology, but that is the extent of it.
In this situation I usually find myself reduced to weighing the proclamations of authorities: