Democracy from the Greek words "demos", meaning people, and "kratos" meaning power; so democracy can be thought of as "power of the people": a way of governing which depends on the will of the people. A more simple definition was offered by Abraham Lincoln: "Of the people, by the people, for the people".
In none of the above I see any refer to: special interest groups, lobbyist associations, military-industrial complex. Or Wall Street and the one percent.
Choosing the 6 Jan. Events as a background for a historical debate on American democratic struggle merits, was mistake and PBS lost some of its credibility. Similar events to 6 Jan. Capitol Riots, in other countries were pictured like "color revolutions", or a "political crisis" like in Bolivia in 2019, that turn out to be a regime chance, one of many.
Double standard is just hypocrisy and the collective memory (a.k.a. History) doesn't forget.