I agree with the point you've made. And perhaps without doing so consciously, you've possibly made a point that there might not be such a thing, really, as street photography, or landscape photography, portrait photography, etc. etc. Each shades imperceptibly into the other, and those categories are a convenience that facilitates discussion but does not reflect reality. My approach to photography is that there's Photography, full stop. In pursuit of a photographic project, I might take photographs that could be squeezed, conceptually, into any number of those genres. But I've found that trying to fit my work into a specific genre only creates unnecessary restrictions (in my head) about what I should or should not be shooting.
Of course, things are different for professionals. It's pretty hard to market oneself without a specialty!