I think Cap movies don't really seem to apply in the same manner, because they handle the issues they talk about differently (and usually far more indirectly refer to real world issues. The Sokovian Accords or HYDRA undermining SHIELD might stand in for something in our real world, but in universe-it's a superhero world problem that we don't have. Of course, Civil War did't really have a solution to its own problem - it's still unresolved, it seems.)
Colonel Chester Phillips "General Patton has said that wars are fought with weapons but are won by men. Our goal is to create the greatest army in history. But every army begins with one man. He will be the first in a new breed of super-soldier. We are going to win this war because we have the best men. And they, personally, will escort Adolf Hitler to the gates of Hell."
(Quote from Captain AMerica The First Avenger)
Captain America is "just a skinny kid from Brooklyn" who gets beaten up by bullies but who is chosen to be the One Man who best serves America and is thus given great power beceause he deserves it. (contrast that to Killmonger as the kid from Oakland unjustly denied his heritage and reduced to beleiving in fairytales)
Thats the ideal being presented in Captain America, he represents the image of the good American, a soldier who is the One Man amongst Men, who respects people and stands up for what is right and good in the world. In WW2 those are the old time values of America that helped
them win the war and become Great (tm)
The next two movies speak to the loss of those old values but Captain America is still the One Man who can stand up against the corruption of American Greatness seen in the Hydra infiltration of SHIELD and the 'unethical' Sokovia accords.
Here too Cap is contrasted with Tony Stark who is the capitalist, war profiteer (reformed) who proves that the private sector is better than Government (and the incompetent military) but who nonetheless has now aligned himself with 'big government' to trample your Rights (contrast here that TChalla as King of Wakanda
is Big Government, but in the Wakandan utopia he is benevolent dictator)
The Captain America arc has had more time to gain more nuance in his story than the relatively simple Black Panther and the fact that there are more White Superheroes allows White society to be better explored via contrasting characters rather than via the allegorical depictions of Protagonist v Antagonist seen in Black Panther