How would you feel about this quote: "I missed the call on ____ play. But in reality, **your team** ran 94 offensive plays and 104 on defense. If they scored one more TD on any of those, my mistake is a moot one." The official can pick any number of non-conversions during a game and use that to cancel out their ONE mistake. Cause that is what you'll get if you start having officials address the media.
Reality is that in the major sports, officials legitimately have their life threatened over mistakes. If they address the media and make a single misstep in their speaking, that is throwing a tanker of fuel on an already out of control blaze. There is no out as an official. Half of the world will think your incompetent, no matter the call. That is another factor in this. Again, there is no way that an official can talk their way out of a mistake without having their life threatened. That is how sad/pathetic our current sports culture has become.