Here's the thing. You called a picture a photography.
Is it in the same family? Yes. No one's arguing that.
As someone who is a scientist who studies pictures, I am telling you, specifically, in science, no one calls photography pictures. If you want to be "specific" like you said, then you shouldn't either. They're not the same thing.
If you're saying "picture family" you're referring to the taxonomic grouping of Picturae, which includes things from pics to images to JPGs.
So your reasoning for calling a picture a photography is because random people do it? Let's get videos and PDFs in there, then, too.
Also, calling someone a human or an ape? It's not one or the other, that's not how taxonomy works. They're both. A picture is a picture and a member of the photography family. But that's not what you said. You said a picture is a photography, which is not true unless you're okay with calling all members of the picture family photography, which means you'd call pics, images, and other visual art photography, too. Which you said you don't.
It's okay to just admit you're wrong, you know?
imgur 6J0vMhm