I think orbiting around L2 would ensure the satellite was at a higher angle in the lunar sky for most of the time, and hence the lander can be in contact for longer, as low angles may be blocked by boulders or crater walls etc. The radio to the satellite would normally use high frequencies so you can have a focused beam for power saving, so it needs to be line of sight. You could transmit faster, but this would take more power.
In addition, there is a little rover[1]. NASA rovers since Pathfinder have had some automated driving, I imagine the Chinese can easily do the same, but manually steering is still nice and hence the rover is more useful if you can be in "live" contact with it for longer.