One problem related to battery cable has been reported for the 2005 Chevrolet Avalanche. The most recently reported issues are listed below.
2005 chevy Avalanche 1500 z66 (5. 3l flex fuel). Sudden warning from info center on dash that stabilitrak had been disabled. Traction control off and theft deterrent warning lights came on and stayed on until vehicle was stopped at a red light. Truck was turned off and restarted after approx. 1 minute. All systems normal when restarted. Problem was intermittent and when it returned later that same night, innova code reader was at the ready. P1626 code suggested loss of communication with modules among other issues. Problem very similar to another complaint [10631837] in a 4-wheel drive Avalanche--my truck has 2-wheel drive. Would not have been so willing to file a complaint with NHTSA except for the fact that my 2007 Avalanche ltz 4-wheel drive (5. 3 flex fuel) also has experienced multiple loss of communication/voltage drop events among internal components with wacky events while either driving or while parked [to include but not limited to flickering headlights when applying the brakes, cruise control disengaging at speed either by itself or when lane change/turn signal activated, hvac head unit going off and resetting, nav/radio going off with a "pop", drivers door control panel flashing along with headlights as truck is parked @ nite, a drivers seat that moves all the way forward as the doors are unlocked with the remote (easy exit feature never used by me), reverse mirror tilt active (though never set to do so), only rear doors locking when remote pushed--2 front doors had to be manually locked, engine hours back to zero, etc]. No immediate safety issues to date, but stabilitrak turning itself off while driving was not reassuring [and could pose a danger at highway speeds and/or hazardous driving conditions. ] dealership has not been able to reproduce problem(s), but has suggested a known problem with the oem battery cables--mine tested ok per dealership.