Considering that the largest rim size recommended for 2" 559 tires is something like 25mm, and 80mm is more than 3 times that recommended max, I don't think your 2" tire is going to be very happy on a 3.15" (80mm) wide rim.
As you know, 80 mm rims are designed to carry tires wider than 4.2".
The bead walls are going to be forced to a very different angle than what is molded into the tire. If you manage to set the bead and the tire doesn't pop off the rim, it will end up distorted to some sort of half moon shape. Like this:
Definitely a unique look!
The CAD model does show that the wide rim results in quite a bit larger enclosed sectional area, something like 55% larger, because the rectangle of the rim starts to dominate the shape, and has much more perimeter length per unit of enclosed area than a circle.