My personal thoughts, (which may be colored by where I live),
is that "No kill" is a huge red flag. Like others have mentioned, there are some highly contagious diseases that rabbits can never really recover from.
Having them in foster homes instead of a crowded room full of cages where one sick animal may infect the rest sounds like an excellent way to increase biosecurity. It's definitely a good place to start.
Another red flag to me is "every rabbit can be worked with(or around)" and the idea that behavioral problems mostly stem from mistreatment and not genetics.
I've raised quite a few baby rabbits. I seem to have been somewhat lucky/unlucky to have stumbled across breeds(or more accurately, lines) that were at the opposite end of the temperament spectrum. :roll: The best are like cuddly puppies that actually enjoy being picked up, which is rather uncommon for a rabbit. The worst were best described as like keeping wild animals in cages.
They bred true, and the kits of the nicer breeds were noticeably more outgoing, friendly even affectionate. The kits of the wild acting breeds were wild. They hated attention, handling, and the presence of humans was just...scarier to them. They were a lot more likely to bite out of fear.
Keeping them inside with the family and fostering them to nicer does did not fix the problem. It was not behavior learned from their mothers. It was genetic.
I type that in past tense, as the wild acting rabbits have been (permanently) removed from the gene pool. (I think bikegurl on here has the last of them actually, but that doe won't be around for too much longer, and for a good reason. I could make friends with those rabbits if I was extremely patient...but put under any stress.. the wild came right back out)
The most docile rabbits here ( velveteen lops) are our personal much-loved house pets. Although I will no longer breed the ones I have due to an apparent genetic issue, they have earned their place as part of the family. It's much easier to love rabbits who really truly enjoy the time and attention you give to them. :lovers: