First, got to get one thing off My chest, it should be "polyerotic" or "multiamorous", mixing Greek and Latin roots is just wrong.
that said,
it is important to distinguish between "polyamory", romantically loving of more than one person at a time, and "promiscuity", having casual sex with multiple partners, a promiscuous person doesn't seek love only physical gratification although they may offer love to get it even if the have no intention of following through on the promise. In a polyamorous household, and I've seen successfully run such, the key to making it work is openness and honesty between all partners especially in terms of communication about each others needs and desires, one of the purposes of poly relationships is to allow everyone involved to have all their emotional and sexual needs met within loving relationships. Cheating on the other hand is a deliberate attempt to violate promises made and to deceive one's partner(s), an anathema to any healthy relationship straight or gay, mono or poly, scene or vanilla since without trust you have nothing to hold it together.