few things here and Ill just try lay out the "rules" of boat rigging
1. Your trolling motor batteries are for your trolling motor exclusively. More importantly, with brushed trolling motors, you absolutely do not want to be running your electronics off of those batteries, you will encounter significant interference as well as massive voltage fluctuations when running your trolling motor at high speed. Now have people done it, especially in very small boats where they only have 1 battery...yes, but its 2025, 30 amp hour lithiums that will easily run a 10 inch screen plus a livescope for an entire day are on amazon for $160, enough said.
- DONT RUN ELECTRONICS ON A TROLLING MOTOR BATTERY.
2. Your screen is shutting off, meaning your starting battery is experiencing such a significant voltage drop during start up that its shutting down your helix. Your reading 10.8v on the unit during regular operation, thats extremely low. Your starting battery is tired.
While voltage can be impacted by a variety of factors, including line loss, poor connections and under guaging your power cable, 10.8 is so low that it would imply that you have a battery that is going bad. your 12v battery, is it flooded lead acid? Have you topped it up with distilled water lately? How old is it actually? Do you ensure that you are charging it immediately after every use?
For reference I am running my electronics off of a designated group 31AGM I run 3 10 inch garmins plus livescope and at start up I will have 12.3 volts reading at the console and due to line loss from the front of the boat from the very back I am typically around 12.0 and 12.1 on my two front garmins. Thats on a battery thats getting pretty tired even and is now 5 years old and been abused relentlessly with long tournament days. I even had to throw in an ACR into the mix to try get some juice back to my screens on those real long tournament pre fishing days. I wasnt making it through a day anymore. Hell, I cooked my 2 group 31 agm's that were running my trolling motor in 2.5 seasons, i limped them through the end of the year last year and it was not good!
TOO LONG DIDNT READ, GET A CHEAP LITHIUM FOR YOUR ELECTRONICS AND BE DONE WITH IT!