Romance can be understood by observing as the Buddha did:
AN1.1:2.1: “Mendicants, I do not see a single sight that occupies a man’s mind like the sight of a woman.
AN1.6:1.1: “Mendicants, I do not see a single sight that occupies a woman’s mind like the sight of a man.
Indeed, similar observations also hold true for transgender people. In other words, romance occupies a mind. It is a feeling that leads to craving. And the Buddha explains how craving leads to seeking gain. Romance leads to the seeking and gain of romantic partners.
DN15:9.1: So it is, Ānanda, that feeling is a cause of craving. Craving is a cause of seeking. Seeking is a cause of gaining material possessions. Gaining material possessions is a cause of assessing. Assessing is a cause of desire and lust. Desire and lust is a cause of attachment. Attachment is a cause of possessiveness. Possessiveness is a cause of stinginess. Stinginess is a cause of safeguarding.
In particular, the Buddha talks about "assessing", which can apply to "counting romantic relationships."
Notably, whether one has many, one or no romantic partners, all romantic relationships have a beginning. And anything that has a beginning has an end. So if one assesses, craves and seeks romantic relationships, those exciting beginnings are bound to be followed by wrenching ends.
DN14:3.15.7: ‘Everything that has a beginning has an end.’
In contrast, giving up assessing, giving up craving, mindful of the infinite, our hearts can be released.
SN46.54:12.9: The apex of the heart’s release by love is the beautiful, I say, for a mendicant who has not penetrated to a higher freedom.
Assessing also impedes relationships. We look for partners who meet certain arbitrary criteria--we assess them and reject others. Mindful of love, compassion, rejoicing and equanimity for one and all, our hearts open to all sentient beings. We will always feel happiest around good spiritual friends. And some spiritual friends will become closer than others. I met my wife through a stranger simply because of a warm greeting. And she became my closest spiritual friend.
Note that the above is not advice to seek a relationship In fact, the Buddha specifically warns against the unworthiness of matchmaking:
DN1:1.26.2: This includes making arrangements for giving and taking in marriage; for engagement and divorce; and for scattering rice inwards or outwards at the wedding ceremony. It also includes casting spells for good or bad luck, curses to prevent conception, bind the tongue, or lock the jaws; charms for the hands and ears; questioning a mirror, a girl, or a god as an oracle; worshiping the sun, worshiping the Great One, breathing fire, and invoking Siri, the goddess of luck.