I think you go too far. I think it's easy for you to see where the similarities between human computing and biology fail because you're so steeped in the world of coding. But imagine if you had no concept of information theory - imagine if the best mental model you had was that life was a very complicated physical process. The fact that we can literally email viruses would be very surprising! T, A, G, and C are different molecules, but they're representations. And the mechanism of viruses would also be a total mystery - how can such a simple physical object make copies of itself?

Life is, at its core, an informational phenomenon. It's not a coincidence, or a "rough and oversimplified analogy", that we have computer viruses to mirror biological viruses - they are both consequences of the same underlying principles.