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.
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.