The phrase "life form" is not a synonym for "being alive".
And "non sequitur" is not a synonym for "relevant". As I already noted, the processes by which the rabbit stays alive also insure that the information which encoded the rabbit persists for some time in the environment. Just because the life form that is a rabbit doesn't endure as long in a population of purely male rabbits doesn't make it any less a life form.
From Merriam-Webster: life-form - the body form that characterizes a kind of organism (as a species) at maturity; also : a kind of organism.
That only makes sense, if you have clearly defined concepts of "species", "maturity", etc. We're outside of the narrow scope where that definition makes sense. Hence, the attempt to redefine terms like "life form" in ways that make sense, even when you aren't speaking of the narrow sense of Earth-like organisms with the sorts of characteristics of our more common life forms.