None of these beyond the Akai have what I would consider a modern modeled cab and amp sim. For context, I have been playing lead guitar patches in prog and industrial bands since the middle 90s. Because the electric guitar sounds on synths and even samplers were so objectively bad back then, I sat down and really thought about the signal flow from a guitar to your ears. What I realized was that for a patch to really behave like a guitar, it would have to be able to be played like a guitar, meaning that you'd have to figure out a way for a patch to react and behave like a clean, unamplified guitar. At the time, memory was $50-$100 per MEGAbyte, so a multisample was out of the question for my use. So I took an E-mu Proteus and created the dryest, plainest twang sound possible. I layered in a sine wave two octaves higher that would fade in as the original sound faded out. I also did a velocity switch at value 125 to change to an even higher and sharper sound so if I dug in, I'd get a version of a pinch harmonic.
Then started the quest for the perfect effect, and that's been my 30 year journey since then. Onboard effects have improved, and very rarely, I will resort to using a lead guitar sound on the MoDX, but it's not anything remotely "realistic".
From my experimentation, which took me from pedals to rack multieffects to real half-stacks to modelers, I found that what works best for an authentic sound is a modeler. Presently, I have a great custom patch I made for the Ax Edge which is a version of that super stale guitar sound, and I feed it into a Line6 HX Stomp. That's my practical live solution (which I need less and less these days). In the studio, I use a similar patch I made and use Amplitube or other plug in, but I also just play it on guitar.
So to get back around to your question, I think only the MPC has a solution for your particular use case, and even then, I'd still strongly recommend considering an external solution. Good luck!