You cannot compare S/N of a CD player and an amplifier. Also the Fisher SA-300 specifies 0.5% THD (which is terrible) and the residual is hardly great at -100dB (167uV) with respect to 16.7V RMS (35W). Consider a decent D/A converter has a residual of <3uV, around 55 times better.
Why people confuse the issue by talking about SINAD, I don't know. The OP asked about S/N. One test is residual noise vs maximum output in the absence of signal, the other is noise and harmonics in the presence of a notched out signal. One test stimulates harmonics, the other does not. They are not interchangeable.
CD players have always specified S/N not SINAD. That is since day one.
Amplifiers have always specified S/N not SINAD. Noise (20-20K or A-WTD) was also often quoted separately in uV for completeness. Amplifiers with higher power outputs got a bit of an easy ride with S/N numbers due to their larger voltage swing. Again, S/N numbers cannot be directly compared between amplifiers with different output powers.
The oft quoted amplifier THD spec was essentially THD+N until the last 25 or so years when fundamental analysis (FFT) allowed extraction of the harmonics from the noise to give separate THD and N and THD+N numbers.
Well, CD players may have only specified S/N, but there was always an implied near odB FS signal level to compare the noise to (how can there be a signal to noise ratio without a signal, either real or implied, after all) - it is mostly quantization noise and hence is entirely relative to the full scale signal, and distortion was also specified relative to the full scale signal, so designers of converters always specified SINAD, even if the SINAD was/is decomposed in the specs of CD players.
Oh, and these measurements/designs were made using FFTs (Fast Fourier Transforms) from the early 80s- I know, I sat through design reviews on early ADI converters, and all of our opamp designs were simulated using FFTs to assess distortion.
Also there are a number of modern amplifiers that have equal or greater SINAD values (and indeed S/N ratio) to that of even 24 bit converters- The Benchmark AHB2 and the various Pudseys Class D amps for examples. Many people say S/N when they really mean useful signal to the impairments- or SINAD, so the argument goes both ways.
S/N therefore is but a component of SINAD, and the process of generating SINAD also generates the separately determined noise spectrum and the distortion components, which are reported in the analysis, and combined to produce SINAD.
S/N can be entirely independent of output power. After all power amplifiers are essentially gain stages with large output swings, and if they have the same input referred noise then they will have the same S/N ratio, independent of the gain, and independent of the output power.
So, a fair degree of conflation is reasonable.