You can take it back farther than that.
In the 50’s and 60’s, many sitcoms (Leave it to Beaver, Danny Thomas, Father Knows Best, Patty Duke, etc) had the rather simple plot wherein the children or teenagers or whoever would spend a half hour in hijinks getting themselves into a mess; and at the end, the wise Father would come home, sit down with his paper and slippers (his suit and tie still on), solve the problem, administer the necessary admonishment or punishment, and send everyone off to bed.,
Message: Father is the Voice of Stability.
Even in all adult sitcoms……it was always (well, usually) Ricky and Fred getting Lucy and Ethel out of whatever mess they had gotten themselves into (well, the mess was usually Lucy, but you get the picture.) Or “That Girl”, when Don or Daddy often were the ones getting Marlo out of trouble.
Then., somehow, we got Friends and Seinfeld, sitcoms where the adults behaved like children. (And we wondered why our children stopped respecting us!).
Dovetailing neatly into the examples you list above.