Peak Power Pack charging in Caravan

Hi,
I have a Peak Power Pack 40 Ah battery that I want to install in my Caravan fitted with a Schaudt CSV416A Caravan Charging System. This unit has an internal charger that can be setup for Lithium batteries stated with max. charging current of 20A (peak 28A) and up to 14.4 V. In the manual it is stated that only Lithium batteries with BMS are allowed to be connected. Is it safe to connect the CSV416A to the “Domestic” output of the Peak Power Pack battery, so It will be charged while driving / connected to mains ?