A.T. Robertson Commentary 2 Corinthians 7:12

"So although I wrote unto you, I [wrote] not for his cause that did the wrong, nor for his cause that suffered the wrong, but that your earnest care for us might be made manifest unto you in the sight of God." — 2 Corinthians 7:12 (ASV)

But that your earnest care for us might be made manifest (αλλ' εινεκεν του φανερωθηνα την σπουδην υμων την υπερ ημων). So the correct text, not "our care for you." Easy to interchange Greek υμων (your) and ημων (our). Usual construction with preposition ενεκεν and genitive of articular infinitive with accusative of general reference.