A big part of that Ampeg tone is the 810e cab. If you played the same head (anything honestly) through an 810e, a 410hlf, and a nv610 you'd have three very distinctive tones.Understood, but some people simply don't like that Ampeg tone.
I ran Aguilars, line 6 pods and eleven rack through QSC power amps, and a GK2001 through my fridge when I had it. They all had that same Ampeg low mid hump/bump. Ran the same adult through an NV610 and it was dramatically different.
If you have a cab you know you like, the EQ is adjustable enough to find a tone you're cool with. Might require some drastic knob turning, but it's doable.
That said, there's definitely other rigs that are more widely suited to wider variety of folks.