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Many of the electronic systems in the Tahoe may still be active if the battery isn't disconnected ( speedo may continue to roll up miles, reports from other members about active braking assist still functioning when towing ) .
Shop may not want to answer your question for liability reasons .
My older system is probably completely different , but my ignition has to be on for the trans to be in neutral , so I had to wire a 12 volt outlet directly to the battery along with a charge wire from the coach , and disconnect all chassis grounds from the toad battery , in order to have the aux brake system work and keep the toad battery from going dead while on the road.