One thing that puts me off is: it appears that they each need separate cage to grow out? Then, there's the processing. I know that once the head is off, it's just meat, and I'm guessing that rabbit is easier to process than chicken. But, it would take me a bit of time to mentally move past the "Oh look at the cute widdle bunny." stage... to the "hurry up and get this meat processed so I can get it into the fridge or into the crock pot" stage. I've not tasted rabbit for more than 35 years. And that was when hubby shot a rabbit and it was FULL of bird shot. My memory fails me re: whether I enjoyed the flavor/texture. Of course, that rabbit was a bit crunchy! How's the feed conversion rate compare to chicken?
Aside from that, I think it would be great to raise meat rabbits. I might even get into tanning and using hides. I'd have to re-work my garden/chicken space areas, and most likely would want to put up an electric perimeter fence.