Umm, I've never encountered an instructor who recommended tampering with the scene like that. Not my CCW intructor, not my NRA instructor, and none of the instructors at the Front Sight 4 day defensive handgun course. If you think a forensics team wouldn't be able to tell you "dragged them inot the house", you may be in for a surprise, and in so doing you've just told the DA that you felt you had something to hide.
You are 100% correct...
...and that's precisely why I strongly advocate training your dogs to drag the body long before an incident like this occurs...;-)