No, ish. I'm polyamorous, and so the sex thing isn't really an issue (although it slightly is), but my main reason would be "what's the point for them?". Don't get me wrong, I appreciate the desire for relationship, but my understanding of that is rooted in sexuality. A sexual relationship generally requires sex, otherwise it's a straight up standard relationship that you could have with anyone.
Also, without sex, there is a lack of emotional connection between partners. Sex is more fundamental and natural than current society allows it to be, and I personally encourage people to have plenty of sex, with different sexual partners, before they even think of settling down. That emotional connection, that potential hurt, that trust... all of that is essential to growing up, and between a couple, it is essential for that compatibility. The only "happy" situation I can see an asexual person being in is either in a relationship with another asexual person, or in an understanding polyamorous relationship.
I may be wrong, but the question asked for MY opinion, which I've given.