Both of those states lasted for around 80 years before collapsing. My (probably worthless) 2c is there's nothing magical or surprising about that, a lot of people have pointed out that political entities often last around the length of a human life before change occurs.
The most prominent current theory is the Strauss–Howe "fourth turning" one but the idea goes back further than that
This is not a common narrative in Israeli discourse (especially since in that discourse David's kingdom is considered to have continued in the southern Kingdom of Judah, and to have lasted several centuries).