With decent solid state amps, slew rate hasn't been important for decades. So, I don't look at tat spec anymore.
Damping Factor does impact the dynamics. That said, nearly all SS amps have a damping factor much higher than needed to control the speaker, especially when a passive crossover is present. When you really see a difference is when comparing the sound of a tube amp or any amp with an output transformer to a direct coupled SS amp.
The reason we talk so much about those two specs is to compare two otherwise very good amps. When they are both great, we have to split hairs by looking at peak current, damping factor, rated output into 4 and 2 ohms, and so on.