Hello,
Thank you for reaching out!
I'd need to request this information from our lab, but I'd expect it to perform as you described - provide the power as long as the batteries can maintain a certain voltage.
As for the ON/OFF slider, it does not mean that the device will not provide power when the slider is set to off the BAT120 will work in a passthrough mode, meaning that it will not charge the battery, but simply pass the power directly to the output. It is meant for transport from the factory.
As for the device operation after the power outage, that is correct, as long as the switch is set to the ON position, the PSU will charge the BAT120 and power the connected device. However, please keep in mind that BAT120 is designed to operate as UPS, thus charging time while another device is connected can be quite long, as the device was designed to slow the battery degradation.
Hope this answers your questions!
Best regards,
DaumantasG