I have been driving by 2011 180,000 miles in manual 5th gear since I brought new in 2011 and after had any problem with my truck. So yes I recommend you drive it 5th gear.
2011 Silverado 5.3 250,000 miles. My remote doesn't work every time. Also when I open the doors there is no open door alarm. Also no keys left in the ignition switch alarm. I have a intermittent buzzing noise coming from my speakers. The radio volume does not work. No codes are coming up.