Not proclaiming to be any expert, but when discussing 'rise time' the traditional engineering parameter s 'slew-rate' dvt/dt = X-volts/micro-sec. And once you are talking about slew-rate there is some pretty established science associated with it such as that described in the following recognizing that the 'amplifier" gain (be it SUT+tubes or solid state) has an effect and that to produce a specific frequency there is a minimum 'slew rate'.
Slew Rate: What is it? (Formula, Units & How To Measure It) | Electrical4U
AN-346 High-Performance Audio Applications of The LM833 (Rev. D)
Phono Preamp Project - Graham Slee Audio Forum | HiFi System Components - Page 2
And in the Texas Instruments document there is this paragraph:
"In addition to the amplitude response errors (which can be made small through careful design), the lack of a continued rolloff can cause distortion in later stages of the audio system by allowing high frequency signals from the pickup cartridge to pass through the phono equalizer without sufficient attenuation. This is generally not a problem with moving magnet cartridges, since they are usually severely band-limited above 20 kHz due to the electrical resonance of cartridge inductance and preamp input capacitance. Moving coil cartridges, however, have very low inductance, and can produce significant output at frequencies as high as 150 kHz. If a subsequent preamplifier stage or power amplifier suffers from distortion caused by slew-rate limitations, these ultrasonic signals can cause distortion of the audio signal even though the signals actually causing the distortion are inaudible."