I don't think this isn't a modeling vs real amp issue. What you're referring to is about the over all concept that drives a lot of people to use heavier strings.
This conversation easily morphs into the, "Does the kind of wood in a solid body guitar effect tone?" kind of discussion that pervades other forums, not this one because it's off topic. But you'll find lots of people who say string gage is more about feel than tone - right up to the point where they say it makes no difference in tone, only feel. Others will go down swinging over the idea that it does change tone.
IMO, string gage is up to the personal preference of the player. I even use different gages on a couple of my guitars because I like the feel better.
But I've experienced nothing with my AX8 that would tell me it responds differently to string gage than any real amp would.