I helped remove the LCD. No technical reason other than ease of access. It was easier to reach the connection points on the motherboard than on the LCD screen. The screen doesn’t lift up very far, making it tough to get at those connections on the screen. But either way should work fine.
The covers don’t need to be replaced. They are thin metal and are held in place by the small tabs you see around the edges. Those covers were fairly pliable, robust enough to handle lifting them off. Just don’t go folding them like a piece of paper :)