Answer to "MacBook Air 11 stuck on chime boot loop, gray screen w/ NO apple logo"My brother's MBA had same issue. I disconnected the camera connector as you said. It then started seamlessly. After turn off, I cleaned up the camera connector with some iso-propanol and reconnected the camera connector: it started too :) So good news: it may not be necessary to change the LCD assembly, just disconnect camera, boot, turn off, clean and reconnect camera.
Answer to "Looping chime on booting"Hi, Same problem with my brother's MBA. I disconnected the camera connector (step 12 of this guide) It then started seamlessly. I cleaned the camera connector with iso-propanol, and I reconnected the camera connector. It started successfully too. I then performed a SMC + PRAM reset and it seems working for now.