It can get pretty slippery. On one extreme, your grandma might have a Yamaha digital piano containing multisamples of a Yamaha grand. Right next to it might be your other grandma's Casio digital piano containing multisamples of a Yamaha grand.
At the faaaar other extreme, you walk by this atrocity at NAMM 2004, for which they got sued for blatant trade dress violations and were forced to change their chassis shape, colors, logos, and fonts:
Where is amp modeling in all of this? Dunno, but the public generally seems to think it's much closer to the digital piano side of things. Those who don't are almost always trolls trying to ruffle feathers on gear forums.