The jokes in the article are just there to demonstrate the pattern. There are lots of more sophisticated jokes which clearly follow the same pattern. For example Milton Jones' classic (which won "best joke" at the edinburgh comedy festival I believe)
I come from a long line of police marksmen. Apart from my grandfather, who was a bank robber. But he died recently..... surrounded by his family.
More Milton Jones "grandfather" jokes which all clearly demonstrate this pattern: https://www.youtube.com/watch?v=BEUfbSrpsHk