Yet Another Battery Set Up Question

[td in nc]

I am going to add a Voltage Sensitive Relay System to my 2000 Launch. I am linking the VSR with a Blue Sea Systems 350 Amp E-Series Battery so I can have a house battery and a starting battery. In addition to avoid being stranded, I am hoping resolve an issue with low voltage to my Perfect Pass. If my blower is on, or if I am filling my ballast tank the PP starts beeping from low voltage. I only have a dash stereo (no additional equipment).

I am thinking of keeping the everything but the stereo and PP on the engine battery in hopes this will resolve the issue. Does this make sense?

Thanks