Did some searching now and according to the Anker forums, only the Powercore Fusion range supports pass through.
I have a cheapie that works pretty well for that, although I guess it continues to top up the battery while outputting.
Put the raspberry pie near your alarm system if you have and get a 12v to 5v converter and hook it to the battery. That’s what I did for a router and a rpi that I use for node red and pi hole.