Because of this low gravity, we B612'ers talk about 'docking with' a near Earth object and not 'landing on' one.

We're not passengers on Spaceship Earth. We're the crew.

Things don't 'fall' normally around small cosmic bodies. The local gravity is so low that any lateral velocity has an exaggerated effect. The behavior of objects around asteroids is counter-intuitive, if not absolutely chaotic.

The danger is being overly optimistic about how long it takes to do that.

It's a completely controlled deflection method.

It would take an extremely large spacecraft to deflect a large asteroid that would be headed directly for the Earth.