My two big silver dollars don't eat live plants, they never have and because of this I didn't believe the stereotype...
For the first 5 years of their lives they lived with a large cichlid who was always digging and redecorating so they'd always had fake plants in their tank. When we lost Horrace (cichlid) we put some tetras in with the dollars and moved a few live plants in with them so the tetras had extra cover, I don't think the dollars knew they could eat the plants.
Here's an old pic of them in a tank with anubias, java fern, java moss and bolbitis, as well as some fake plants. Please excuse the horrible pic, and algae covered tank in the pic...
My two little ones however destroy plants. I put some anubias, duckweed and stricta in their qt tank and they ate pretty much all of it - the goldfish (who eat ANYTHING) won't eat the anubias, but those damn dollars will! Grrr! So before putting them in the main tank all the live plants came out.
Silver dollars most definitely will eat your plants. If you're really lucky you might get some like my big two, but don't your breath.
