I'll buy the next Gen XBox without a second (personal) consideration to the always on feature, if it is in fact included. For me I don't see it ever becoming a problem. And honestly, if it became a problem where it'd hamper my use of the Xbox, chances are it'd be hampering my use of my other devices/services and I'd need to figure out a solution to that problem. That's personally how I feel about it.
HOWEVER, If this rumor were to be true, I think it'd be a terrible idea and a very, very large step in the wrong direction and should be changed, absolutely.