In brief
The wiper and pump perform separate tasks.
Useful to know
The liquid pump delivers a cleaning solution to the glass. The HELLA document describes windscreen and rear window applications and various submissions. [1]
If the feather moves, but liquid does not reach the glass, this does not prove an automatically burnt pump. The level, the fluid path, and the control circuit are different parts of the system. Describe exactly whether the problem is in the front, back, or both. This detail is more useful for checking than the general "cleaners do not work".
Sources
For further detail and to check the information: