You’re talking about honey spills that we know about, bees will always clean up spills like you’re describing. However it’s the unknown quantity of honey that spills onto the brood that we’ve all seen photos of. The honey that flows through the brood & onto the ground.
A local flow owner bought some wax foundation from me. A week later he phoned me to ask what he should do because he had a shb slyme-out a couple of days after he harvested honey. He told me that while harvesting the honey, the honey ran through the brood & onto the ground.
I came to a conclusion that (& this was after something I saw in my observation hive) the bees are continually coraling the beetles into hiding places. When there is a major honey spill (not like the ones we get from time to time, like you describe), the workers are flat out trying to clean it up. During that time the beetles get a chance to break loose & go on an egg laying spree. The workers are torn between looking after the brood, cleaning up the honey & trying to stop the beetles egg laying spree all at the same time. It is absolute chaos. I’d say that this is what happened to the local flow owner.
This is why I’m not a fan of large honey spills into the brood in areas where shb are present.
Edit- On top of that, if you have a sbb covered in hive debris, bits of pollen, the odd chalk brood mummy etc. You get that soaked with honey, the beetles will have a field day laying eggs in that. It’s a recipe for disaster.