No, you think again. The link provided in post 2 explains that it also loses over 50 thousand tonnes of hydrogen and helium to space every year.
This is explained by kinetic theory. The speed of thermal motion of the molecules, for these light gases, is so high* that for a significant fraction of them it exceeds the Earth's escape velocity.
That's why H and He disappear from the atmospheres of planets with modest gravity, while gas giants like Jupiter keep most of theirs.
*A kinetic theory result is that Temperature is proportional to thermal kinetic energy (1/2 mv²). From this it follows that, at a given temperature, in a gas made up of light molecules they have to be moving faster - to give the same kinetic energy - than in one made up of heavier molecules.