Whole chain emulation + cab impulses are a thing, with digital modellers like Line 6's Helix or Fractal's FM9. I do get the impression you were referring to "an

Whole chain emulation + cab impulses are a thing, with digital modellers like Line 6's Helix or Fractal's FM9. I do get the impression you were referring to "analog" pedals, though even those are often more digital than not.