Destin,
One thing to note is that the D500's shot at ISO 12,800 is considerably "brighter" than the ISO 12,800 shot made with the D7100. I did not look at EXIF information, but one would want to compare the two cameras in two ways: at the same or identical f/stop and shutter speed setting for both cameras, and also at the same level of "exposure" in terms of brightness/histogram, even if that means slowing the shutter down for one camera (in this case the D7100) in order to achievce that same level of "exposure".
It looks to me that at 12,800 the D500 has improved over the D7100's sensor. The one knock against the D7100 was that pattern banding that can been seen in deeply under-exposed areas that are later brightened in software; THAT is the single biggest difference ebtween the D7100 and the D7200--the pattern banding in deeply under-exposed parts of D7100-shot frames has been eliminated in the D7200's images.
The whole question of High ISO is plagued by viewpoints that are 15,12,10,9,5, 3 years behind the current state of the art in sensor tech.
Ask a Nikon D200 shooter about High ISO issues and then ask the same question to a Nikon D500 owner; ask a Canon 5D-Mark II shooter about underexposing by 5 stops and lifting the shadows later in software and then ask a Nikon D750 owner the same question and you'll get a huge, "No way!" and a, "Yeah, sure, if I want to, I can do that."; ask a Nikon D2x user what ISO 1600 is like and then ask a Nikon D500 shooter the same issue; sensor technology AND camera electronics AND software processing tools--all three of these things have changed, markedly, within the past five years. How people view High ISO, and how people view AUTO ISO, and how people view a number of things related to this depends, in many instances, on viewpoints that were set, or developed, with what is now outdated technology.
A lot of shooters hold ideas that are four,three,two camera generations behind what is possible with TODAY'S sensors, camera's and their internal electronics, and today's software tools.