Car SMPS for Soundbox GND question

Have bought a car SMPS for amplifiers on eBay.
180W DC12V To Dual 32V Boost Power Supply Board For HiFi Amplifier Car Amp | eBay
Intention is to use it in a soundbox with a car lead acid battery.
As I would like to use the 12V from the battery to feed a DSP and BT board, I'm thinking of connecting the input GND of the SMPS with the output GND.
See picture with the red connection. I think the schematic is very similar to the one used for the eBay SMPS.

This way all Gnd is attached to the battery minus pole, creating a common reference point.

I can't think why it should not work .... can anyone else??

Additionally I'll use a small charger based on CN3768 and a laptop SMPS for charging the battery: 12V 3A 1-1000AH Lead-Acid Battery Dedicated Charger Module Board for UPS Car | eBay
 

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