Something I read on-line about this question was:
"For me, the biggest difference between a modeler and the real all tube amp is the "touch". Modelers are incredible for matching the tone and output of the amps they are modeling, what they lack is the ability to replicate the touch sensitivity when playing. This is due to the inherently compressed nature of digital signal processing. While most players would never tell (especially high gain players where the gain stages are already compressed) players who are at edge of breakup and use the picking hand dynamics on low input pickups can definitely hear a difference. There is a very subtle on/off effect.
A perfect demonstration of this is any dimming LED light bulb vs a dimming filament light bulb. At some point the LED will reach its cutoff voltage and turn off, while that voltage is very low it still exists. An old school filament bulb will always have a current flow as long as there is any voltage, no matter how low. The touch dynamics of any digital input is to compress or raise the small signal and lower the high signal to flatten the signal for processing. You can't get around it. While newer modelers are very good, they still have step voltage limits.
Not bashing modelers at all, they are fantastic. They just don't cover the range or to use your word the dynamics that an all analog signal chain produces.
My $0.02"