I don't agree at all. Generally relationships are monogamous because that is what both people want. Having the expectation that your partner will not sleep with other people or love other people isn't abusive, just like having the expectation that your partner will tell you if he/she DOES sleep or love someone else isn't abusive.
I think the ownership issue comes up in relationships of all varieties - monogamous, polyamorous, polygamous (probably more often in religious traditions that call for this), friendships, families, etc. It all depends on the people, not the relationship structure.