I have begun experiencing the identical issue (Chevy Z71 Crew 5.3 LT). I decided to monitor the vehicle to see if perhaps the fuel pump or automatic E brake was cycling. I was able to observe and record the interior dash back lighting (dull grey screen) light up, as well as the dual temp control knobs. This was occurring every 45-55 seconds. The steering wheel control backlight would also remain lit for an interval afterwords. I called local dealer and have an appointment. This vehicle is driven daily a minimum of 40 miles.
I will update ASAP.
Respectfully,
Sarge