The big difference lies in the clarity with which the facts unfold:
In a Hypothetical Example - An imaginary situation is always described, ideal to be understood by all, and of course, invented to reach a point, to illustrate the audience, and to be able to identify a general principle, a fact that helps to imagine how a situation can happen, especially when the example presented, is consistent with the real facts.
In the Real Examples: As they start from real situations; it's more difficult to decipher than the invented or hypothetical examples; you can't invent or facilitate any fact, and like everything in reality, a problem can have more than one cause or variant; It can't be easily understood, and can often even leave a space for controversies or doubts.