I think we're still a generation or so away from getting to this level. Fundamentally, though, it doesn't seem to be too wild of a suggestion that DNA is going to end up looking like an incredibly complex, incredibly hacky computer program, utilizing every last potential possibility of its mechanical substrate.
Think about demoscene or 80s video game programming, tight little assembly routines by developers that did not care anywhere near as much about simple and clear code, security, portability, or anything else as they did about raw performance. Analyzing some of these after the fact (not that I've done it, but I've read the stories of people doing it) seems to be every bit as difficult as being able to do it in the first place. And this is something that _is_ the product of intelligent design; when raw evolution is responsible for the work, it's even less liable to make some kind of logical sense when viewed at the lowest level. The emergent effect of random change (and its impact on reproductive fitness) is the only thing that matters.
Now, consider this: scientists analyzing a simple processor can't even tell you how it works, using modern equipment:
https://journals.plos.org/ploscompbiol/article?id=10.1371/jo...
> we take a classical microprocessor as a model organism, and use our ability to perform arbitrary experiments on it to see if popular data analysis methods from neuroscience can elucidate the way it processes information. Microprocessors are among those artificial information processing systems that are both complex and that we understand at all levels, from the overall logical flow, via logical gates, to the dynamics of transistors. We show that the approaches reveal interesting structure in the data but do not meaningfully describe the hierarchy of information processing in the microprocessor. This suggests current analytic approaches in neuroscience may fall short of producing meaningful understanding of neural systems, regardless of the amount of data.
What do we take from that? It seems to me that our current understanding of DNA is extremely crude, and that we're still a few breakthroughs away from understanding any moderate to large scale 'logical structure' in it.