Exactly. You can debate the quality of some of the stories, but really it uses the exact same situations and type of humour as those shows you listed.
I think The Flintstones is for those a little older than the 5 year old set. It hews pretty closely to the old formula of the bickering-but-loving married couple, and that's not something little kids would necessarily "get". At least those younger than 10 years old.
I say if you enjoy the recent sitcom The King of Queens, then you should have no problem with The Flintstones. They are pretty much the same shows.
Me, I still think it's funny. At times. Obviously it wasn't a consistently funny show, being written by writers of varying degrees of skill, but it does occasionally hit some great jokes at times. I do enjoy it better than some more recent animated sitcoms as well. But you have to view The Flintstones with a different lens, something many younger viewers may not have the ability to do.