As an American, I sure couldn’t say if British Culture scorns its working class as it goes about its daily business, but I will share my observations as to its culture that’s reflected in its mass media.
Traditionally, British heroism was the domain of the aristocracy (with the caveat that Shakespeare’s best stuff didn’t deal with heroism, and Shaw & Hardy are almost devoid of it). But the noble virtues of phlegmatic devotion to duty and vast reservoirs of self-restraint were uniquely British, and long exclusively aristocratic.
After actual history with Nelson, Cook, the Great War, etc. British filmmakers couldn’t have portrayed heroes solely as titled nobility even if it wanted, but still, Black & White movie heroes were middle-class men who assumed those aristocratic virtues: David Niven in The Way Foreward, Noel Coward In Which We Serve, Jack Hawkins in The Cruel Sea. This pretty much remained the archetype, though, after Kitchen Sink dramas turned the culture around; only seen in costume-drama heroes like Poldark, who conveniently lived before the invention of the kitchen sink.
Then in real life Britain in the 70’s, the garbage piled up in the streets, the factories shut down; British men got pissed-off, punked-out, and shaved their heads. The heroic Brit archetype was no longer the aristo, but the tough guy in a tough spot with no time to fuss with his hair: Daniel Craig, Jason Statham, that big galoot on HBO’s Rome, etc., etc. And their virtue was being able to solve problems with violence.
But solving problems with violence was traditional Britain’s criticism of America. What happened there? I remember first watching Jurassic Park, expecting it to turn into a typical American orgy of Dino-blasting. But instead all the survivors lived by using their wits. Except that one shaved-head Brit who tried violence.
In my modest appraisal, neither the noble aristo nor the tough prole is my most beloved Brit archetype. That would be the silly Mr Chips from Oxbridge who comes along and saves civilization as an intellectual exercise (Bletchley Park , the Dam Busters, etc.). I don’t see that archetype as much any more, and that’s too bad. Because Great Britain reached the peak it did not because they were often undeniable noble as well as tough, but because they were so incredibly curious about the world.