"The character generally must be within 10 feet of the object or surface to be searched."
Well, yes, I wouldn't let someone find a trap from more than 10 feet away...what is it, a sign saying "trap here"? I don't think that this means that you can find every trap by standing ten feet away from it and staring, though; it is a maximum distance, not a guarantee of safety, to me. Still, I agree that it is better, when DMing, to wait for someone to move into a trap that was not found, rather than have them all triggered by someone just looking for them. I like the process to feel dangerous at the same time; that is really my point. So, I would not want players to think that looking for traps will always give them the "no worse off" situation. That just seems too constraining, and too safe.