My gander Petey almost ate a plastic grocery bag. The only reason it didn't go down the whole way is because he swallowed it from the top down and the air trapped in the bag made a big "balloon", which was an interesting thing to see coming out of a goose's mouth
.
I try to keep the yard picked up but they have a huge area to roam and it's not always as inedibles-free as I'd like. I know they've eaten styrofoam, bits of plastic and glass (dulled, the previous owners buried their garbage grrrrrr), and the goose ate a small button before I could snatch it out of her mouth. Petey ate most of a corncob and had a large lump in his neck for about a half an hour before it went down all the way.
They poop so frequently, and eat and drink so much, that stuff moves through their systems in only a few hours, from the bill to the back door. I think this protects them somewhat from foreign objects, although metal objects can and will get stuck in the gizzard with the gizzard grit and cause heavy metal poisoning (hardware disease). Nails, wires, staples and coins are especially important to keep picked up around geese and ducks.
I think a goose could probably eat a LOT of paper towel material and be OK.
When Petey swallowed the piece of corncob (it was large, maybe an inch and a half long and an inch wide) he craned his neck, twisted it, opened his bill over and over, and drank a lot of water until it went down. I was a mess for the rest of the day until I realized he was FINE.