For starters, I'd say CS is better described as a branch of applied mathematics rather than a science like chemistry or physics, if one wants to associate it with any academic category at all.

Moreover, "coding" isn't really "applied computer science" in the way, e.g. electrical engineering is "applied physics of electromagnetism." In fact, one doesn't need to know or understand even the first thing about CS in order to be an extremely effective programmer. The same isn't true about most engineering:physics/mathematics analogues.