You are kind of just confirming my point.
If you had a decent dog, you would be able to get your limping ram in, whether he fancied it or not.
With the bucket method, not only is it quite impractical in many situations, and also relies on feeding your sheep (which we don't). . . . . but it is entirely dependant upon all of the sheep fancying playing ball!
Serious sheep farming with no dog is my idea of hell!
But that's maybe just me!