From the link: One of the most noted uses of this plea, or "defense," was by the accused in the 1945–46 Nuremberg Trials, such that it is also called the "Nuremberg defense". The Nuremberg Trials were a series of military tribunals, held by the main victorious Allied forces of World War II, most notable for the prosecution of prominent members of the political, military, and economic leadership of the defeated Nazi Germany.
You don't get it. The phrase "Nuremberg defense" is not a reference to the trials, it's a reference to the type of defense. So, if you here that in conversation, they aren't equating the situation to the holocaust, but rather the type of defense used (I was just following orders).
The only person equating anything to the holocaust was you.