I imagine Ian Brady would be quite unhappy if Keith's remains were found, which is a second reason I fervently hope they are found and soon.
The family is, of course, the first reason. I've seen enough comments from victim's family's to know that not being able to lay them to rest as the family wishes is not a minor issue for them, but a deeply traumatic one.
I do see Inge's point. I wonder if a private foundation or group might be able to pay for the continued searches?
The family strongly believe that the State should pay for searches for Keith - the official website has a lot of new and up to date information about the cases and is managed by Keith's family: http://searchingforkeith.forumcircle.com/