The trouble with rabbits is they quickly get to plague levels and that means even more off-balance wildlife. Depending on where you are they often have no natural predators hence excessive populations.
It's a massive issue with our wildlife in that the environment we have created created a massively out-of-balance outcome. eg I'm rural, edge of tiny village and we had OK wildlife until a few years ago when neighbours got 3 cats all of whom are obsessive hunters. I used to get maybe 100 video clips each night of wildlife on my trailcam, we have owls, bats, regular buzzard in garden, etc. Then cats and now nothing on trailcam as all small rodents hovered-up, owls disappeared, not seen buzzards since few months after cat arrivals ... Used to get a fabulous variety of birds in garden, now just pigeons. Plus plague of rabbits and deer (destroying trees planted). It's become a wildlife desert.
Add light pollution from townsfolk moving to their rural idyll (as I also now have) and eg whilst we used to get fair number of noctule and pipistrelle bats, now none. And light pollution might be at night but it drives all sorts of things away, changes way plants grow and they become less palatable to insects ...
