TIL that in 1968, Liechtenstein held a referendum on women's suffrage where both men and women were allowed to vote. Despite this, the No-side won with 56.3% of the total and 49.5% of the women vote
Misogyny becomes so normalized and institutionalized in a culture that even women sometimes do things and vote against their own best interests. It wouldn't surprise me if there were a surprisingly high number of women who voted no.
Case in point, how many Christian conservative women vote against a women's right to chose whether to carry a child to full term?
In my experience a lot of women (especially in patriarchal societies) support the idea of gender roles. And they are more than willing to apply violence to keep dissenting women (and men) in line.
Being against own interests is an old human quirk.
How would the husband check? Voting is strictly secret punishable by law. It's next to impossible to check what your wife actually put on the ballot. For a reason...