Ok, that is fair enough. There is common language and there are more specific descriptions using some types of standards. Without some standards, we can never pass on to others what something is and how it was created.
You are correct in the sense for instance of a portrait photographer. If he wants to get paid, often he will need to soften the image, or spot out zits and other natural features that the subject does not want portrayed. A photograph that was retouched is refereed to in the trade as a "retouched" photograph (or a print made from a retouched negative in most cases). The fact it was retouched is not hidden in the statement that the result is a silver emulsion Or color) print, at least among photographers. The teenage girl who loves her portrait may not be told that zits were spotted out (or she might- her dad will when he receives the bill). referring to any silver emulsion (or ink jet) print as a photograph, is somewhat just common language. And that is really not a big issue. A bigger issue is what we refer to as "photography) vs. Graphic arts. The standards are not perfect. We generally accept a zitless portrait as a photograph, even though it was manipulated, but to be precise we should specify it was produced from a retouched or spotted negative. We may even connote the resulting field as "commercial" photography, in some senses indicating that that other standards are at play then perhaps artistic photography.
These types of quandaries are part of the reason I proposed
photographic standards a couple of years ago. It removes the value judgement, and just creates accepted standards about what to call things so everyone can know, and if they want, they can apply their own subjective/value criteria.