neilestrick,
The one prototype I've got in place seems to work fine with about 1/2 - 3/4 inch in the ground.
Hmm... Now you've got me worried about ground movement in winter. I likely won't be able to bring most of them in because I expect the plants to grow and engulf them, which means I'd have to prune so heavily to remove the collars that it might harm (some of) the plants.)
But this is worrying. The typical winter where we are (northern New Mexico, elevation about 6,000 feet [1830 meters] brings repeated cycles of freezing and thawing, as in three or five really cold days followed by many mild days with freezing nights. So yikes, these things will face many freeze-thaw cycles per winter.