A woman’s deeds are between her and Allah, the husband has no role or influence on this. What Islam emphasizes is the proper treatment of both the spouses to each other. A certain amount of emphasis is given to the husband, as you point out in the Hadith, due to the fact that he is the wali and the responsibility of maintenance, which he will be asked about strictly, is upon him. Even then, women are not the slaves of men, and a man is not the intercessor of his wife.