DNA has about as much structure as bits on a disk (with coding for one of 20 amino acids as the "bits"). No DNA sequence is more likely than any other to exist.
I think that means we need to identify strong physical processes that produce useful DNA strands; you, apparently, aren't as concerned about it. Maybe you're right, but from where I'm sitting, it's hard to imagine what those physical processes might be since the strands they must produce are extremely, unimaginably rare in practice.
DNA is basically information[0], and we literally have no example of a chemical process producing valid DNA information, nor is it all obvious how such a process might work in practice. In the past, large amounts of time + equal likelihood of producing random DNA was considered sufficient to think "well, useful DNA stands could appear randomly." We now know that's extremely unlikely to the point of being effectively impossible, statistically-speaking.
[0] https://www.nature.com/scitable/topicpage/dna-is-a-structure...