What is meant by “can be achieved by natural processes”? If we mean “does not require miracles to happen”, then the experiment proved that. If we mean “has a fully known sequence of events by which it could happen in nature without intelligent intervention”, then the lab experiment did not prove that. [Note: by “intelligent intervention” I am referring to the sort of design implementation that most popular ID invokes, in contrast to God’s ordinary providence, which is continuous intelligent involvement but not intervention.]
Unlike the construction of an iphone, though, the formation of complex biological molecules is something that can occur with no intelligent intervention - the laws of chemistry apply. Various studies have found ways to produce non-racemic mixtures, and some of the amino acids reported from meteorites commonly show some degree of non-racemic proportions (e.g., https://www.ncbi.nlm.nih.gov/pmc/articles/PMC4919777/ ). Also, once you have molecules interacting, having one stereoisomer promotes asymmetry in the molecules that it interacts with - as chirality gets going, it would be self-reinforcing. You don’t need a pure homochiral sample to get started. Interaction with polarized light, with electromagnetic fields, or with some sort of template (such as certain minerals) are among the possible causes of a non-racemic proportion.
Complex organic molecules can self-assemble; the chemical steps are relatively simple. Getting specific useful complex organic molecules is the challenge, but getting some sort of complex organic molecule is easy. Complex inorganic molecules self-assemble as well, as a course in mineralogy will show.