Animal empathy is a great super power! I will die on that hill!
But to the rest of your point, I feel that's the point. He's more of an every man (more in the comics than the MCU) and can inspire us to be more.
Which to me is something that superhero stories should do. Inspire us to be more.
That's why despite the flaws of Falcon and the Winter Solider it was one of my favorites. It took us to the worst injustices and told us the answers aren't just punching bad guys in the face.
And that a man who should by all right hate the stars and stripes, can still wear them to inspire use to stand for the ideals that the United States supposed were founded for.
Steve Rogers was created by two Jewish Men who wanted to mock Hitler by having a blond hair, blue eyed "ubermensch" reject everything the Nazis claimed to belive in.
Sam Wilson became Cap in the comics to remind us that we are not as good as we should be. That American Dream is a lie, but doesn't have to be. And the MCU story, flawed as it was, tied to those same ideas. We can be a better nation. We just need to be shown the way and follow.
