I still don't understand why it matters how the crime is classified. If you blast through a school zone at 120 miles per hour and a kid jumps in front of your car, is it murder? It's an accident. However, it is an accident created through such gross negligence that it becomes indistinguishable from murder.
Breaking into someone's house is similar. By doing so, you create such a dangerous environment that harm or death become much more likely. It may be that you get shot, or maybe you'll shoot them with the gun you didn't intend to use out of "self defense". Or they may shoot and miss and hurt someone else inside. Or maybe you encounter someone you know inside and now have to choose between a guaranteed jail sentence or murder. Maybe you will just get cornered and decide to fight your way out, harming the inhabitant.
Breaking into a house creates enough of a dangerous situation, that whether or not it is violent, it should be considered violent. This is why I said that I don't care about their tragic story or benign intentions. Once you break into a house, you are throwing your life away. You've now become, to the unknowing occupant, a murderer, rapist, arsonist, child killer. There is absolutely no way for him to know that you are down on your luck looking for a TV to sell for food. Nor should he be expected to care.