You still don't understand that hands are developed for tool use. Mr. Handy has no hands because he's a parody of Robby the robot.
I get you but certain tools don't necessarily require the human element. Sorting, manufacturing, ditch digging etc, a lot of functions there are already handled by machines.
When you have existing machine design to be operated or used by humans than a human shape might be more useful, but when you make complete new machines and already have useful machine intelligence, why not make automated "tools".
There might still be some androids but you don't need them in the numbers the Institute made and it still puts into question why they made ones almost non-distinguishably from humans.