Yes. It's a very good story. Unfortunately there's a 1,200 year gap in the "chain of custody" of the crown of thorns.
On a positive note, I once had a super OCD hoarder friend that kept the same REAL Christmas tree in his living room for 6-7 years. It was totally brown, had about 5 needles left on it and smelled like a pencil... but it was recognizeable as a "Christmas tree." So I suppose a crown of thorns could last 2,000 years. Maybe.