I heard an argument that kol isha is a man's mitzvah, not a woman's; the Gemara is clear that the man may not listen, not that the woman may not sing. Therefore, a woman may sing wherever she likes and does not violate any probition.
This seems a tad ridiculous to me (it puts a stumbling block in front of a man if nothing else), and there is no custom I am familiar with that permits it (yekkes singing zemiros does not count; this is a disagreement of the extent of kol isha, not a disagreement about whether a woman is bound by it at all). However, most of the sources I am familiar with only discuss the prohibition of listening, not the prohibition of singing.
Are there poskim who have ruled specifically on the question of whether a woman singing rather than a man listening is assur? I would assume so, but I am not familiar enough with the sources to be sure. Is this argument correct, and I'm simply mistaken?