Perhaps (though I'm not sure*), but even if so, that's no great loss, because getting a date isn't good in itself, it's only good if it's with someone with whom you're compatible, and rationality is critically important for that.

Also, this would have the effect of making rationality a more desirable trait, and irrationality a more costly one.

.*It's definitely not true for everyone, as there are relationships in which both partners are rational.