I didn't see any private interpretation...And neither did you...
That's an interesting charge from a Catholic whose own church has not yet provided a commentary on Scripture.
Since the RCC has not yet provided a Bible commentary on Scripture, neither it nor its members are in any position to challenge any other interpretation of Scripture, since there is no *official* document to which to appeal for THEIR interpretation.
They're in no position to tell us we're wrong when they don't know what *right* (supposedly according to the RCC) is.
All that's left is their personal opinion, or THEIR YOPIOS.
Since there's no official Catholic commentary on Scripture and there are allegedly some billion Catholics in the world, each is left to interpret it for themselves, that leaves the Catholic church with a billion or so different interpretations of Scripture.
Sorry that I forgot you are infallible.