This seems to be the earliest article about Vasile Gorgos, and it seems to be missing a lot of details from this retelling. I think this means that a lot of these details (wearing the same clothes, the same train ticket he left with, the mysterious car speeding off) were all added later.
EDIT: In the video, they actually show the train ticket. It's from 2021, from Ploesti to his home village, and his daughter-in-law says a friend of his picked him up from the train station after recognizing him. Also, unlike this version, he didn't say he'd been at home, he said he wanted to go home. He does look and sound very visibly senile.
Also, unlike this version, the original does not give him a clean bill of health. It specifically says he has neurological problems and can no longer recognize his son or his son's wife.
If you'll allow a bit of speculation, my guess is the guy abandoned his family, went off and lived life, the police never really took the missing persons case seriously and never really looked for him. Decades later, he starts becoming senile. A befuddled old man, still with his unchanged ID card, ~~gets picked up by a good samaritan who drops the old man home.~~ gets a train ticket home and gets recognized at the train station.