For safety, I kept my initial wiring for the output side : the feeding of the outputs is going through a contactor linked to emergency stop.
Consequently, if emergency stop is activated, all the outputs are no more feeded and the actuators, electric motor, etc stop. With this, safety of the machine is correct.
For the battery, as my initial issue seems to be solved, I will let the Jazz as it is and hope the battery will be OK for a long time 😉