Please, not this nonsense again.
Like any of that stuff has been anywhere in Rome for any of the past 1500 years.
Perhaps they should chisel off the reliefs and send those back to Jerusalem?
One of the contemporary narratives of the Fourth Crusade, by Robert of Clari, has a lot on the fantastic relics the Crusaders found when they looted Constantinople, but I don't remember if he says anything about treasure from the temple in Jerusalem. Of course if there was something purportedly from the temple of Jerusalem, it could have been a fake rather than the genuine item.