Gee, it all seems so clear now after watching those videos.
Reminds of a quote from the first president of Israel after a long Atlantic cruise with Albert Einstein in 1921. Chaim Weizmann said, “Einstein explained his theory to me every day, and on my arrival I was fully convinced that HE understood it."
From reading numerous posts over the years my guess is the key idea behind “checker boarding” is that gaps in a bee hive (bee it brood in the spring, or honey in the summer) tends to keep the bees busy filling those gaps before they start back filling the brood chamber and swarming. Is that the basic premise of this idea?