I mean, yeah, I'm sure that Python and the other things have paved the way for a greater understanding of the British sense of humor, but I don't think it's all that different than the American sense of humor. ↗
I think at its best the American sense of humor is the same as the British sense of humor at its best, which is to be wry and ironic and self deprecating. ↗
There are actually quite high profile British TV star cameos in it that you probably wouldn't even notice, that the British wouldn't even notice, let alone the American audience. ↗
When Joan D' Arc was asked by her judges why as a Christian she did not love the British, she answered that she did love them, but she loved British in their country. In the same way, we do not hate the Turks, we love them, but in their country. ↗
I had passed through the entire British education system studying literature, culminating in three years of reading English at Oxford, and they'd never told me about something as basic as the importance of point of view in fiction! ↗