Just the other day I was called to inspect a water loss that another company had started. They had done the initial water removal and as you can see in the photos, they did some demolition. The source of the water was one that did require the removal of the carpet and drywall that was wet, but how those materials are removed makes all the difference in how much time and effort it takes to install new materials.
You may be asking what does it really matter? Well it matters a lot. In the photo named (Metal) you are looking at the end of a wall that is covered with sheetrock and the metal corners are what is used to finish them off. When they are removed in the fashion shown in the photo (ripped and torn) putting new metal on and blending it so that you can't see the repair is much more difficult. Now if the technician doing the removal of the affected sheetrock had taken just another 5 minutes to carefully remove the nails holding the metal corners on, they could have saved the original metal. That would make it much easier to do the repair work and it would save lots of time in the long run.
In the second photo named (drywall) you can see a small peice of sheetrock that is painted black left in a corner. That's not the issue here. The issure is that the affected area of sheetrock was under a window, only about 4 foot up the wall. The person doing the demo decided to remove the whole wall of sheetrock. Not only did they remove the whole wall, but as the photo shows they removed it to the ceiling and wall joints. Now when the new sheetrock is installed the sheetrocker will have to tape the corner seams onto the walls and the ceiling. Which means it will take considerable time to make those tape joints right. The ceiling is heavily texted and the walls are also textured, so the texture will need to be smoothed out before the tape joint can be done. Also the ceiling and the adjoining walls will have to be textrued and matching existing texture is very difficult. If the person removing the sheetrock would have left 3 inches or so along the ceiling and walls so the new sheetrock could be taped to that, it would have saved several hours of work. Let alone, you would not have to do any work to the adjoining walls or ceiling. One more thing that the extra work effects is the painting. Doing the removal the way it is in the photo means you will have to paint the whole ceiling too.
The bottom line for all of this is...The company doing the removal work created extra work to be done that didn't need to be done. That's one of the dirty litle secrets of the industry that some companies do. In the long run all it does is cost you and I more money for our insurance.