"Heirloom" lettuces safe for rabbits?

[nat1234]

Recently got an aerogarden and would like to grow some hard to find veggies for the bunnies. I found these but haven't ever seen anyone else feed it before: deer tongue lettuce, parris island, and black seeded simpson. they look nice and dark. if i can't get a definitive answer any other plant suggestions would be appreciated

 

[Preitler]

If it's lettuce it's safe, all those variations are the same species, Lactuca sativa.