The only difference I see is goats will eat wood, and knock stuff over. Geese seem to enjoy wire, strings, latches and chains.I had goats at one time they are very similar to geese as far as finding things to get into.

The other good thing is geese don't try to knock me over like goats can, and do. I'm getting too old for pushy goats, so geese are a good replacement to me.