The message of "The Story of an Hour" is that no one wins when women are oppressed. It is certainly possible to point out that men seem to have more favorable lives when they, but not women, are allowed to have full, rounded identities and lots of roles in society, as well as institutional power. These advantages may make it seem as though men have it made in a scenario like this while women, alone, suffer the consequences of inequality. However, Brently Mallard truly seems to love his wife. Even Louise Mallard, in the midst of her relief that she is now a widow and has acquired a kind of freedom that she has never before possessed, is forced to recall how his face had "never looked save with love upon her." The narrator even describes Brently's hands as "kind" and "tender." How would he feel, do you think, to learn that his beloved wife is actually relieved, even joyful, after hearing of his supposed death? I would think that he'd feel horrified and quite hurt.
It seems as though Louise only married Brently because that is what is expected of women and not because she really loved him and wanted to spend her life with him; she desires independence and autonomy, which she would never get in a marriage during this era. Brently, one would think, would want a wife who loves him back, who would not rejoice in her own freedom after his death. However, as a result of women's oppression in this era, he has a wife who only loves him "sometimes." She certainly loves her freedom more. Therefore, though Brently has more power, his wife doesn't really love him and is mostly happy with the idea of her life after his death.
As others have mentioned, Chopin's famous novel is The Awakening, a text that takes place in the same era and conveys a similar message.