Oliver and his show are a different flavor of what the Daily Show with Jon Stewart provided (a show the heute show's wiki even cites as adapting from). I think that's what you have yet to have seen. Here's a sketch Stewart did that's a bit tangential to your own example's sketch. If that's not to the tune of what you're thinking, either I picked a bad example or its necessary to bring up that not everyone likes to hear about how bad things are. Example: the Nightly Show with Larry Wilmore where race relations in America had a heavy emphasis if not the only subject. They didn't last long. Maybe his White house correspondence speech had something to do with the final jersey of the cord.... Anywho, Jon Stewart's mentee's are all across American media (Steve Carrell, Stephen Colbert, John Oliver, Rob Corddry, and some others at CBS) and seem to channel him from time to time as satirist, but it does fall short when the content in question is merely tweets.