As any specification, so slew rate is relative as well, in more than one sense of the word.
If measured and declared properly, one would assume it applies to the whole amplifier, just as you take it out of the box. Unfortunately, all too often this is NOT so.
For example, Sansui used to declare the slew rate of their input stage only, reasoning that if it doesn't saturate and distort, the rest will manage. Hence, they had wild slew rate specs, 200V/uS and upwards. 25 years ago, this was sicence fiction.
Others will take out of the circuit some components, known to knock down the slew rate, such as input low pass filters and even the output inductor circuit, measure it and declare it - too bad you will NEVER actually have this in real life.
For many years, it was assumed that so long as your amp could manage 0.5V/uS per peak volt of output, you were all right in terms of necessary speed. So, for a say 100W/8 ohms amp, delivering 40V peak to have those 100W/8 ohms, a slew rate of 20V/uS was considered sufficient. When you work out the slew rate you need to deliver those 40V peak into 8 ohm loads at 20 kHz, the figure you get is 7.04V/uS. Consequently, the 20V/uS spec appears to be quite all right.
My own feeling is that the logic is solid, however, I prefer to have 1V/uS per every peak output volt. In other words, twice what is considred as enough. But this must be EFFECTIVELY available, not on paper only, hence it must be the overall amp slew rate, input to output, as delivered to the user.
But the folly can also work backwards. What I routnely do, and I am not the only one, is to have the amp hit 1 MHz and above; consequently, my effective slew rate would be say around 500V/uS. However, I normally insert an input filter, limiting input frequency at say 500 kHz because there's no sense going over that. Thus, my INTERNAL amp slew rate remains the same, but my input signal slew rate is cut to one half of what the amp can do. The amp is therefore always twice as fast as the fastest possible (realistically possible) input signal.
No TIM, no TID, no SID.
Cheers,
DVV