Jim, I am experiencing the same. Changed 4 pigtails thus far. Passenger side pigtail looks burnt after 2 weeks. I even tried changing pigtails to a high heat version. Just burnt out tonight after 1 day.
I also changed the sensor/ capacitor in fuse box. No luck.
I see numerous GM trucks on the road with passenger side (H-11) not working.
I'm going to dealership to see if a mechanic can/will discuss the issue.
Will advise if he does.