Maybe not the exact same way, but yes, similar.
You can't honestly think that the whole show is unscripted. They fill an hour of tape with running commentaries describing the minutiae of car design and engineering while telling a compelling story or trying to make a specific point. It is scripted. And scripts have characters. They are playing characters, maybe more accurately caricatures, based on their public personas.
Do you really think May is incapable of driving with haste or picking out clothing that is not brown? He owns both a Porsche and a Ferrari and has more floral shirts than I have ties. He is playing the part of Captain Slow, Victorian Enthusiast. It is based on his interests and his persona as compared to Clarkson and Hammond, but I think you get a different picture of the man in his own show, Man Lab. The difference may be subtle, but it's there.
I've never seen any other work by Clarkson, but I gather he has found it very profitable to be non-PC, in fact to rail against the very idea of being PC. That is what makes him popular with some people, so that aspect is accentuated. He is the persona of living by stereotypes, from lazy road workers to pompous Prius drivers. Did you not see their take on driving in the South of the US? That was far more prejudicial than the silly "slope" pun. But it was consistent with our own prejudices of the US, so no outrage, I guess.
If you can watch the whole episode and come away with the idea that Jeremy Clarkson has little regard for Asians, then you have ignored an hour of insight to focus on a single word.