No, it doesn't. But to be honest, this would be next level. When looking at this, I'm thinking of alternatives and I can only name 2:

1 - Kemper Profiler

2 - NeuralDSP

Both of them are above 1000€/$. We are talking about 10x the price of this thing. Add some Multi-FX Pedal (like Line6 HX-Stomp) where you put this in the FX-Loop and you end up with something equally good for still half the price.

And in general, its not about what is better, digital or analog. It's about the use-case. In the studio or when noodling around with the knobs when practicing: Real Amps and Pedals. But on stage, you don't play with the settings of your pedals or you want presets. This is where you go digital. No one will notice the slightly different sound there anyway.