IME Tubes can do the attack just as well- but in fairness, most tube amplifiers seem to me to have speed problems. Those that do not are the ones that get the leading edges right.
Then there is the issue of what many audiophiles call 'emotional involvement'. I find this to be the pervue of zero feedback designs. Apparently the ear/brain system has various tipping points; normally music is processed in the limbic centers of the brain. But if the brain detects problems with the sound (problems that seem to violate certain hearing/perceptual rules) it will shift the processing to the cerebral cortex. When this happens you loose the natural tendency of toe tapping, dance, that sort of thing. Excess brightness and odd loudness cues (caused by higher ordered harmonics not germane to the music itself) can cause this shift.
Because of these tipping points in the brain, I am of the opinion that the designer should design the audio system to obey as many hearing/perceptual rules as are known rather than just look at a spec on paper. This can result though in amps that measure poorly but sound good...