Seems like a Zeno's Paradox type thing: implying that the development of life was a process and there was no precise moment of genesis means that there was no origin. I'd counter that in that case life still has an origin, it's just that its origin is a process rather than an epiphany.

The rest seems pretty mainstream to me. The hypotheses about abiogenesis that I've heard always imply that it took a very, very long time for things on Earth to get from puddles of organic goo to puddles of organic goo that contain self-replicating systems of molecules, and that it took a very, very long time after that to get to self-replicating systems of molecules that do anything that could be described as metabolism.