To develop a keen stylistic sense you have to be able to see language--not just see through it. I've had the experience in a theory class. You can ask the students what the theorist says, but try asking how the theorist writes and you might get blank stares. At most, there might be a consciousness of the text being difficult, confusing, complex, but you won't necessarily get any specifics.
I have an advantage in being a specialist in poetry, in that the language of poetry is always visible.
I read an essay recently arguing that the best typography is invisible. Maybe so, but it cannot be invisible for the typographer.