What connects Only Connect and New York Times? Game’s similarity puzzles host

Connections joins Wordle on website, leading to raised eyebrows from Victoria Coren Mitchell

It's quite the conundrum. Is a new puzzle game launched by the New York Times original, or does it have connections to a long-running BBC programme?

Victoria Coren Mitchell, host of the BBC's Only Connect, floated the question on Twitter in response to the US newspaper's associate puzzle editor sharing its new game Connections.