the hetero/homo dynamic of sexual relationships is a product of Judeo/Christian culture. Prior to this, in the ancient world sexual dynamics were thought of in terms of active/passive dynamics, and as men were the “active” sexual partner, sex between 2 active partners was considered “superior”. The understanding of marriage in this context meant that homosexual marriage was literally incomprehensible. Marriage was first and foremost about children/family. 2 men couldn’t have children and so the idea that they would get married was just odd.
The idea that sexual relationships were exclusive, and fonts of intimacy and relationship binding is also a Judeo/Christian artefact. First Judaism saying that “a man lying with a man the way he lies with a woman is an abomination” was, in torahadic terms, the strongest possible prohibition. This first of all encouraged men to channel their sexual energies into attracting and winning women over.
later Christian prohibitions on marrying more than one woman and forbidding divorce lead ultimately to Humane Vitae where it is described in what is probably closest to the current western ideal of marriage:
“This love is above all fully human, a compound of sense and spirit. It is not, then, merely a question of natural instinct or emotional drive. It is also, and above all, an act of the free will, whose trust is such that it is meant not only to survive the joys and sorrows of daily life, but also to grow, so that husband and wife become in a way one heart and one soul, and together attain their human fulfillment.
It is a love which is total—that very special form of personal friendship in which husband and wife generously share everything, allowing no unreasonable exceptions and not thinking solely of their own convenience. Whoever really loves his partner loves not only for what he receives, but loves that partner for the partner's own sake, content to be able to enrich the other with the gift of himself.
Married love is also faithful and exclusive of all other, and this until death. This is how husband and wife understood it on the day on which, fully aware of what they were doing, they freely vowed themselves to one another in marriage. Though this fidelity of husband and wife sometimes presents difficulties, no one has the right to assert that it is impossible; it is, on the contrary, always honorable and meritorious. The example of countless married couples proves not only that fidelity is in accord with the nature of marriage, but also that it is the source of profound and enduring happiness.
Finally, this love is fecund. It is not confined wholly to the loving interchange of husband and wife; it also contrives to go beyond this to bring new life into being. "Marriage and conjugal love are by their nature ordained toward the procreation and education of children. Children are really the supreme gift of marriage and contribute in the highest degree to their parents' welfare."
This is different again from relationships today- here today, mutual convenience, mutual equality and mutual reciprocity are fundamentally underlined.
All of these lenses are anachronistic for the ancient world. Interpreting sexual relationships and understanding what people might have thought about it in the ancient world won’t be able to be read through our modern models. They’re so fundamentally incompatible with how the people of the time would have thought that, in the absence of direct historical records, I imagine speculation will prove almost impossible.