Given my experience in relationships, both long term and short, physical attraction is extremely important, if physical attraction trickles away in a relationship, what's the point?
You can be physically close with friends, but not attracted to them. I've noticed that if desire disappears, a relationship changes, you end up fighting a lot, and the relationship can become a strain on you. So both sexual and general physical attraction are quite important. The prior depends on the person, but physical desire is important. So both are extremely important to me now. I don't ever want to be in a relationship where attraction starts to disappear (again).