I've seen that YouTube video with this interpretation. However, there's another hadith with the excat opposite chain of events. The way the sentences are worded makes the meaning opposite. 5 will happen when 4 has happened, 4 will happen when 3 has happened etc.
Narrated Mu’adh son of Jabal: “The Prophet said: The flourishing
state of Jerusalem will be when Yathrib is in ruins, the ruined
state of Yathrib will be when the Great War comes, the outbreak
of the Great War will be at the conquest of Constantinople, and
the conquest of Constantinople when the Antichrist comes
forth.” He (the Prophet) struck his thigh or his shoulder (a
gesture of exclamation) with his hand and said: “This is as true
as you are here or as you are sitting (meaning Mu’adh son
of Jabal).” Sunan Abu-Dawud, Battles (Kitab Al-Malahim), Book 37, Number 4281
The above hadith suggests the following sequence of events:
1) The appearance of the Antichrist
2) The reconquest of Constantinople
3) The Great War (A war before the final Armageddon)
4) The destruction of Yathrib
5) The flourishing of the state of Jerusalem
Yathrib refers to the City of Medina, but it also referred to the State of Medina, the first Islamic state. Could it mean Saudi Arabia? I would be most careful with this stuff. A wrong interpretation can cause a lot of confusion and trouble.