My understanding is that for the most part sonically, slew rate correlates to bass performance and rise time to treble. This is what I've been told by the tech who's worked on some of my amps.
Actually slew rate has almost nothing to do with bass, in case Al had not made that clear earlier.
Damping factor also has nothing to do with bandwidth, slew rate or risetime. However, A high risetime and slew rate can improve the effectiveness of the use of loop feedback, assuming the feedback parameters are properly worked out. So it may be that with higher risetime and slew rate, an amplifier with a greater damping factor can be built.
The thing is, no speaker needs more than about 20:1 for a damping factor- in fact if the speaker is over-damped, quite often a loss of bass impact is experienced (and is also measurable).
As Deep Thought was want to say: "Tricky."