I meant the first one: faster than light in both directions.

You can think of it this way: if any reference frame perceived travel from B to A slower than light, then so would every reference frame. The only way for two observers to disagree about whether the object is at A or B first, is for both to observe the motion as being faster than light.

He's not talking about impossibility

I know Owen was not talking about impossibility, I brought up impossibility to show that what you thought Owen meant could not be true.

both of which involve moving faster than light.

Moving from B to A slower than the speed of light does not involve moving faster than light.