In my opinion this is hunting and takes a level of skill. I do the same kind of hunting to kill pests and have no plans to eat them. I'm attempting to grow fruit, nuts and veggies... and rodents, including tree rats are not welcome here.
A neighbor had racoon problem and trapped one in a live trap and asked me to kill it - no skill involved, so I wouldn't call that hunting. That is were I'd draw the line between hunting and execution, and I don't mind executing pests humanely either. If you live in the country or make your living off the land such actions are necessary.