A little deeper dive on the science of it from the book
Rabbit Production, 8th ed, page 5.
The creatures we call rabbits come in 3 varieties:
Hares, which are not real rabbits, come from genus
Lepus and have 24 chromosome pairs.
Cottontails, from genus
Sylvilagus have 21 pairs
Domestic Rabbits, from genus
Oryctolagus have 22 pairs. This genus has all our domestic breeds.
"The two main genera of rabbit are the true rabbits (
Oryctolagus) and the cottontail rabbits (
Sylvilagus)...Cottontails and domestic rabbits cannot be crossed. Laboratory investigations have shown that the sperm and eggs of the two genera will fertilize, but the developing embryo with die in a few hours, after about four cell divisions. The lack of viability of the hybrid embryos is because of the the differences in the chromosome [pairs]."
Your rabbit bred with a feral rabbit of the same genus as your rabbit. As others have said, these kits should be no different than any other litter from the standpoint of safety. If you want to give them away, your Craigslist ad could look like this:
"Free kits to a good home. Mother is a purebred Flemish Giant (list accolades here). Father is...
...from a good neighborhood."