What will methyl (2-oxocyclohexyl)acetate produce when reacted with sodium borohydride?
Both carbonyl carbons (and everything else in the molecule) are in aliphatic environments.  The six-membered ring you drew is not aromatic, it is saturated like a cycloalkane.

The carbonyl group in this ring is a ketone function, bonded only to other carbon atoms.  The carbonyl group in the chain is bonded to oxygen (did you miss that?) in an ester function, which is a less active electrophile than the ketone function.  Yes the additional oxygen atom is electronegative, but with its octet satisfied it can (to a degree) share a nonbonding pair with the carbonyl carbon, and that effect dominates making the ester carbon less electron deficient. The sodium borohydride reacts accordingly.