Seeking Info On Brockages

I'm a new collector and have acquired a small collection that includes several instances of Roman Republican brockages. I'm curious to know more about the phenomenon and what it may (or may not) tell us about how Romans viewed their coinage.

Why weren't they just discarded and recast? Laziness/haste? Lack of oversight? Or were they circulated with official permission by supervisors at the mint and not just "slipped" into circulation? Might it reveal that the obverse was all that was needed to communicate the issuer's authority, alone enough to make it an "official coin"?

For instance, Yarrow, in her installment in the Guides to the Coinage of the Ancient World, suggests that--at least from the late-second to mid-first centuries BCE--they might not have been thrown brockages away because they weighed incoming flans not individually but by the batch. So, to discard one "would disrupt the integrity of the batch". I'm not convinced, but such speculation is interesting.

Can anyone recommend theories or literature on the topic for ancient coins? Are there any data out there on the frequency of brockages by time period or even mint?