No, that's just unrelated to the definition of unemployed. Participation = (employed + unemployed) / total people in working age. If someone is not looking for work, then they are not considered unemployed.
Though you might argue even with equal unemployment ratios, this brings the number of unemployed men higher than the number of women.
You're not classed as unemployed if you're a stay-at-home mother. Likely some of those do so because of social norms, not because they don't want a career.
Though you might argue even with equal unemployment ratios, this brings the number of unemployed men higher than the number of women.