The words weightlessness, zero gravity and microgravity are often misused in everyday language.
If one applies the equivalence principle as stated by Einstein and illustrated by his elevator experiment, there is total equivalence between a body in free fall and the same body in weightlessness.
The common point between each of the three examples in this animation is that each "guinea pig" finds itself in weightlessness when it is in free fall. He no longer suffers his own weight. The same would apply to passengers at the orbital station or even the Moon who seem to float above our heads while they are just in "permanent" free fall. Strangely enough, the same is true for all of us when we jump in the air.
See also eduMedia simulation "Relativity of movement (Einstein's experience)" on the equivalence principle.