The mutton industry needs influencers, then. Or maybe a name change. In 1959, a packing company in Auckland came up with the name "kiwi fruit" for Chinese gooseberry.[1] That turned the market around.
Several of the grocery stores in my area carry rabbit in their specialty meat section. If you can't source it locally, there are a good number of suppliers from which you can order it online.
Yeah, I always assumed their relative rarity in grocery stores was because they're labor-intensive to prep and butcher. Same as with small fowl like quail and squab.
Not if you are a coyote. The other day I went out to my kids treehouse and found a fresh rabbit head with nothing else just lying on the bench at the top of the stairs. I have to assume a coyote decided that was the right place to eat a meal.
It's also hard to get rabbit in the US.
[1] https://teara.govt.nz/en/kiwifruit/page-2