I'd say that's because the "Right" are more easily to be direct about where as there mocking of the "Left" does have direct moments but the shows does it in a much more subtle way, ESPECIALLY when it comes to fake outrage/fake progressives/corporations, etc, how many other TV shows out there actually acknowledge stuff like the left being easy to manipulate as long as you use a good campaign and the right buzzwords, or how most corporations just hijack left ideals to make money off them whilst supporting the right? Even the stuff with A-Train once again isn't both siding, he's looking for something to represent to further his position.
Anyway, in case people don't know there's a YouTube channel under the name of "Vought International" by the showmakers that's been uploading full and extended versions of the in universe TV shows/news segments/Trailers, including this gem: