It has to station-keep to keep from flying off, L2 is only relatively-stable. However, it’s close enough to stable that it can station-keep with very little fuel. Moving in an orbit around the L2 point apparently makes it even easier to station-keep.
Yes, I’ve read similar descriptions about ‘station keeping’. Something about this gravitational well or neutral point is significant in making orbital characteristics favorable but I don’t get the intuitive mechanics.
They are obviously not going to have a continuous fuel vector. Or maybe they will.. and only need a very tiny bit. But 10 years of doing that?