I believe they can survive on it, but it depends on climate, rainfall, and what’s in the pasture. In southern Indiana we have grass most of the year. And there’s an abundance of high protein clovers and other nutritious broad leaf plants for them.
The various feeds are not horrible or anything, I feed them to start geese out in brooders. But geese survived for a long time without the contribution from Purina. I think if your geese are kept confined then the feed has to be there, but if they have the right environment I’ve seen them exist on grass, weeds, roots, cattails, etc… just fine. There are some of my goslings that hatch naturally and their moms don’t like it when I come to close, I leave feed for them sometimes but they just honk suspiciously and give me the eye and take their goslings elsewhere.