Earlier quoted context omitted.
This is like saying all physical engineering problems are quantum mechanics (or insert other physics theory) problems. It’s technically correct (the best kind of correct), but misleading and useless as a matter of practice.
I see what you’re trying to do with the comparison, but it’s not really the same. In your example, the two things are separated by at a minimum one layer of emergence: your example is more like saying biology is just chemistry. In maths and programming, they are both at the same level, no emergence. I also haven’t found what you say to be true at all— As I’ve been learning more maths and more programming, and learnin…
But that's quite different from your other claim. Maths and programming are not at the same level. When one writes a "hello world" program, math does not figure into the final text of the code at all. Similarly, when one writes code to implement a system interacting with multiple dependencies, one is not doing mathematics, except in the trivial sense of your original comment. That is to say, at such a remote distance that it's meaningless to describe the activity as a mathematical one.