> “Cats meow” is “about” the whole of what makes up the category as opposed to parts of it.

No. That is, at best, a highly informal proposition and, at worst, a frivolous disposition masquerading as a definition of «category».

Bare plurals can have generic or kind-related interpretations (the one you refer to as «category»); they do not entail reference to every individual member of the class: a mute cat can't meow, and a rotten apple is unlikely to be liked.

The Obama analogy illustrates reference vs mention, but that distinction is orthogonal to the actual semantic disagreement.