Poor bunny! They don't have a 'scruff' (especially on their backs), they're not designed to have their moms pick them up like that, much less a human!
This is probably why you think its unusual to have a 'tame' rabbit. Every one of my rabbits come when they're called and interact with me, most to a greater extent than this.
At least he's getting out and having fun -- when he's not being abused. You can tell it hurts him.
They are living, feeling, thinking little beings under those skins. At least I hope this gorgeous little guy helps you realize this.
If he gets spooked and starts kicking around he is going to seriously injure himself. Even the tamest rabbits still have an engraved flight response. I would never pick up a rabbit without fully supporting their bodyweight. That video makes me cringe so much I couldn't even enjoy that fact that bunny comes to his name.