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.
Rome was sacked in 410 by the Goths, 50 years before the Vandals got to it.
And that’s assuming no Emperor in a financial fix melted them down during the many civil wars fought for the throne.