A true SNR curve in a digital camera has several domains.These domains are described by Photon Transfer theory, and are:
1) Read Noise Limited Domain
2) Shot Noise Limited Domain
3) FPN Limited Domain
4) Saturation Domain
Read noise is a temporally and spatially random noise that is fixed in amplitude.
Shot noise is a temporally and spatially random noise that grows in amplitude with signal strength: SQRT(S)
FPN, or Fixed Pattern Noise, is a temporally FIXED noise that is spatially random that grows linearly with the signal: SQRT((S*DSNU + S*PRNU)^2)
Saturation domain is where noise actually drops rapidly as pixels saturate, and variance diminishes to zero.
DSNU stands for dark signal non-uniformity, and is a "quality factor" that determines the rate at which FPN grows relative to dark signal. PRNU stands for pixel response non-uniformity, and is a quality factor that determines the rate at which FPN grows relative to the light signal. DSNU is often 10-40% for modern sensors, and PRNU is often around 1% for modern sensors, although it can be as high as 3%, depends on the design of the sensor.
A photon transfer curve fully characterising the noise performance of a camera often looks like this:
The nature of FPN is intriguing, and also potentially annoying, because it grows with the signal. Once FPN grows enough to overpower shot noise (which is usually around the upper midtones unless FPN is particularly bad), you have reached your maximum SNR. Because FPN will continue to grow with the signal, any further acquisition of signal will no longer allow improvements in SNR.
FPN due to PRNU is relative to the photoelectric signal. As such, there is a gain component, meaning the higher the gain, the faster FPN will limit your SNR, since the amplifier will be amplifying spatial variance as well.
For the most part, this is not much of an issue for daytime photography, as PRNU tends to be low enough and signal strengths tend to be high enough that the human eye cannot really tell the difference. However, there are some cameras these days that have higher PRNU which might lead to SNR limitations early enough that they can be detected. It may well be that the 80D has higher PRNU, which leads to higher FPN which would limit SNR sooner. Additionally, low light photography that uses a high gain may experience limitations due to both PRNU and DSNU derived FPN sooner as well.
There are some sensors these days that have FPN so low that it does not overtake shot noise until just before the saturation point. Some cutting edge sensors may even have FPN so low that it never overtakes shot noise. As read noise and dark current levels get smaller and smaller, FPN will become one of the more significant sources of noise and limitations on SNR unless PRNU and DSNU are also reduced. Canon definitely seems to have improved their read noise with the 80D, which expanded it's dynamic range and overall quality. It may simply be that that is making the point where FPN becomes the limiting factor a little more stark than it was in the past. This limitation can occur right around the upper midtones, which is often one of the tonal ranges where we are most sensitive to noise as well. I think the 7DC was another Canon camera that had higher FPN and issues with noise in the midtones, and it turned a lot of people off. It may have also been a problem with the 5D III. The 5DS, 5D IV, 1D X II all seem to have much improved noise characteristics across the board.