If you read the entire piece, the author states he believes the original site is more than likely the real deal.
I also think that is correct.
I also think the Shroud of Turin is real.
I am very skeptical of the “true cross” however - but anything is possible.
There’s a corridor in the Church of the Holy Sepulcher that descends to one of the deepest and oldest chapels in the building. The walls of the corridor have innumerable little crosses and chi-rhos scratched into them ... put there by Crusaders, 800 years ago.