John Lundquist claims that secrecy is one of the features of temples and temple rituals in the ancient world. All temples are sacred space, which means secret space, off-limits to any but the authorized. He cites Exodus 19:12-13, 21-24 in support.
This is certainly true of ancient temples in general, and it applies to the Bible insofar as the inner sanctuaries were off-limits. Yet the interior of the sanctuary, and the rites performed there, were recorded, and that record was to be read out to the people every seven years (Deuteronomy 31:9-13).
Even before Jesus tore through the veil, the secrets of the temple were an open secret, read out to the priestly nation.