Clarifying the correct statement in understanding this hadith: the correct understanding, and clarifying the true statement regarding the distance that permits shortening the prayer.

The Shaykh : So we say that with this hadith, we take its explicit wording and do not take its implied meaning; such that we say: every person who leaves his town intending to travel and prepares for the journey, whether the distance is three miles or more, or less than that; because we mentioned that this implied meaning is not what the narrator intends, nor can he intend it. So what do we observe in the ruling on travel or in the ruling on the traveler? It is that he intended to travel and prepared for it. So whoever possesses this characteristic, it does not matter to him afterwards whether the distance was long or short. In my opinion, this is a clear matter. But the people, as we have heard from them dozens, indeed hundreds of times, doubt their own actions.
One of them goes out for a leisure trip and it does not cross his mind that he is a traveler, or that he prepared with the preparation of a traveler. So when he takes the issue as a matter of the distance he covered, which is a long distance and multiples of this distance, what is his status? A traveler? Why? Because he covered a long distance. And he says to you: "My brother, we walked for hours by car, we covered one hundred kilometers or more, or a little less. Why should we not be travelers?"
The answer: Leave the length or shortness of the distance. Look at yourself when you left your town: did you intend to travel and prepare for the journey? If the answer is: yes; then the distance you covered no longer matters to you. And the opposite is the opposite: if you did not resolve to travel and did not prepare yourself for it, even if you covered long distances, you are not a traveler.