There are puzzle-setters and there are solvers, and both of them use the clue 'innate' in literary-themed puzzles, but in slightly different ways. I tend to spot 'innate' as a straight definition most often; constructors who like clean, surface-y clues will write something like "Innate (6)" to point at INBORN, or they'll frame a literary surface — "Shakespearean trait? Innate." — to nudge you toward INHERENT or INBORN depending on crossings. In short crosswords it's a tidy synonym clue; in more playful literary puzzles it's a hook to a character's essential nature.
When I'm working through themed puzzles — especially ones that riff on character studies from 'Pride and Prejudice' or 'Macbeth' — 'innate' shows up as part of a longer phrase or as a lead-in to a character trait. A setter might clue 'innate' through context: "Darcy's innate pride (6)" to nudge you toward PRIDE's source rather than a literal synonym. Cryptic setters sometimes use it as the definition half, leaving the wordplay to deliver the letters: e.g., an anagram or a hidden word yielding INBORN or NATIVE. I've even seen archaic synonyms like CONNATE used in tougher grids, which gives the puzzle a slightly bookish, literary flavor.
What I love is how flexible 'innate' is — you can treat it as dictionary-simple or stretch it into characterization, allusion, or tricky wordplay. As a solver I enjoy when a clue balances a neat surface phrase that evokes a novel or play with a compact, satisfying fill; those are the moments I close the paper with a grin.