Bad people who have lived near me have had their dog(s) run away. Know what happens? I shoot them when they come on my property, potentially threatening my flock. I haven't actually shot any yet, but warning shots have been fired. I've hit a few in the ass with the BB gun too.
Point is, doggo running away doesn't necessarily mean they're safe. As for that being a general insult, yeah that's kind of mean if undeserved.