The Wikipedia article is quite synoptical.
[Relationship Anarchy] is a theory that questions the idea of love as a special, limited feeling that is only real if it is restricted to two people only, at any given moment; Relationship anarchy is a [new term] used to describe persons who reject the normative idea that it is not possible to love more than one person.
Relationship anarchs (or RAs) proponents prefer not to divide love relationships into subsets of those involving partners and those that do not, but have a more flexible approach in which everything is allowable and allowed by mutual acceptance and agreement. RA is closely related to polyamory, and many relationship anarchists have multiple sexual, loving, or intimate relationships. One notable difference between polyamory and RA is the categorical distinction often (but not always) made by polyamorists regarding love relationships and friendships. In general, relationship anarchists tend not to recognize any such categorization, nor any conventional path to follow, in order to pursue, have, or express love in their relationships.
I think being asexual forces you to take a look at the current forms of the relationships (including friendships) and see if you really like it the way it is - because many people want intimacy, and it's hard to achieve as asexual in our current society.
Another reason for me to think that is that I saw how open everyone in AVEN is to many seemingly odd things.
So, what do you think of RA?