Aristotle wasn’t a Christian theologian.

You’re arguing against yourself when you note that “every participant is an unmarried man” having already declared that gender is particular to the person and not biologically determined.

In addition this argument, which originated in the pop theology of anti-Humanae Vitae in the 60s and 70s, is completely bankrupt as a logical proposition. Legislators legislate on all manner of things of which they themselves do not participate, commencing with God in the Old Testament, through the single unmarried men Jesus and St Paul in the New Testament, right up to today both in secular matters and in the Church.