This, I would personally consider the amp to not get the pace and rhythm right, and definitely not a fast amp. The ideal amp (if there is any) is one which can project the right PRAT (pace, rhythm and timing), at the same time displaying the subtle details etc of the music.A high-resolution audio system can also subjectively create the perception of a slower musical pace. By revealing previously masked subtle details and nuances, including micro-timing variations in performance, the system creates a sense of "space" or "breathing room" within the music. This leads to a sense that the music is unfolding more gradually.

I guess the defination of fast and slow amp differs here.I’m currently exploring Laiv DACs paired with different amplifiers. Switching from the Chord amplifier to the Mola Mola immediately imparts a sense of relaxation and a laid-back character, making the music feel as though the tempo has slowed down. While the Mola Mola gives the impression of being a “slow” amplifier, it is far from sluggish in terms of transient response or control. Somehow, this presentation can be just as enjoyable as the more intense and fast-paced sound of the Chord.
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What would you consider as fast amps, and which would you consider as slow amps? What determining factors or components of the amp would contribute to the amp sounding fast or slow?

When testing any audio device, you must be aware of the simple fact that music does not contain very fast risetime signals, and most media (vinyl, CD, etc.) are actually not very demanding. This is because the amplitude of the musical harmonics is reduced by at least 6dB/octave from no higher than 2kHz or so. This means that the actual level at 20kHz will typically be 20dB lower than the level at midrange frequencies.
Therefore, an amplifier that can provide ±35V peaks will only be required to provide around ±3.5V peaks at 20kHz when operating just below full power with music as the input. This dramatically changes the required slew rate, but it's very common (and advisable) to ensure that an amplifier can reproduce no less than 50% output voltage at 20kHz to ensure an acceptable safety margin. TIM may have been discredited (along with its siblings), but it doesn't make any sense to limit an amplifier if it's not necessary. It also doesn't make sense to go to a great deal of additional effort to design an amplifier that can reproduce full power at 100kHz (or even 20kHz), because it will never be needed.