Thing with much of the American sitcom humour, to me, is that it includes a laugh track to tell people when it's funny. The audience needs clues and the writers while trying to be clever, know their audience won't get the 'smart' bits unless they're prompted to laugh. The viewer only laughs because they're told they should.
In fairness, UK comedy of the past relied on catch-phrase. In the US, a bloke walks onto the stage and everyone chants, yells and laughs uproarously ... without them doing anything. In the UK, people would applaud ... until when the actor could shoe-horn in a catchphrase. It didn't matter that the words meant nothing - the audience expected the words from that particular actor so got them!
"So we aren't allowed to tell the visiting Prime Minister that he's only there because no one else wanted the job?"
Dead silence.
"We really must stop young Jenny - our 'punk' daughter going out with that raving socialist Nigel from college - calling our Prime Minister a quote toilet-brushed head of a Etonian elite?"
Mild mirth.
"Oh, lummie! The Prime Minister is visiting our firm? Where's my autograph album?"
Uproar of laughs from the studio audience.