Most people think rabbits are “natural” when they may actually be invasive. So they let them go. Finding a new home is the last thing on every one of these owners mind.
On the other hand, there is very real urban legend of a salt water crocodile that was captured in early 2000s in the Hongkong wild. It was hunted for months. Authorities have no idea if was a release, or travelled from nearby (more tropical) region. Read more about Pui Pui on Wiki: https://en.wikipedia.org/wiki/Pui_Pui_(crocodile) She is even on show at the Hongkong Wetland Park. But if you want to see salties in the wild without too much effort or stress, you can do that in Singapore at a wetland reserve near Kranji.
The odds that it manages a litter first are higher, especially if it escapes pregnant, which rabbits generally are if they're able to be. Those pups are feral, not domestic, and have moderately better odds. Given enough generations, the domesticated neoteny is selected out by predation and now you have an invasive population of feral rabbits which can survive in the wild.