Debate the difference between jogging and running if you want, but when you add the word "Hobby" to that, it simply means making enough money to support yourself or not.
So, if you do not make a living from your running, you are a hobbyist and therefore a "Hobby Jogger" or "Hobby Runner" if you want. If you make a living from running, you are NOT a Hobby anything. So, there is not a time cutoff, but there is only a money issue.
So, is a guy who ran 13:52 in college and cleans up on the local road running circuit a "Hobby Jogger" or "Hobby Runner"? Yes.