On first watching, I didn't see where was Eliezer coming from at the end. My thoughts were:

The genetic code was produced by a optimisation process. Biochemists have pretty broad agreement on the topic. There are numerous adaptations - including an error correcting code. It did not happen by accident - it was the product of an optimisation process, executed by organisms with earlier genetic substrates. Before DNA and proteins came an RNA world with a totally different "code"-with no amino acids. It is not that there is no evidence for this - we now have quite a mountain of evidence for it.

The modern ecosystem is the product of a designoid organism containing the first DNA. That creature conquered the world with its descendants - and was massively successful at pursuing its goals, and spreading them everywhere. Accidents might have been involved along the way, but the results are purposeful - to the same extent that other things in biology are purposeful [insert your favourite teleonomy justification for teleology here if so inclined].