That was deliberate and made sense to me. Falcon was just being realistic, and yes show was a little racially charged (what isn't) so it made perfect sense to me in this context BLACK soldier was a huge deal.
Also you think the penultimate overtone will be "Is america bad, racial sentiment etc" moving towards the finale ? Lets see.
That seems to be the way it's trending
Unable to give a black hero a loan in episode one = modern capitalism / racism is bad
Police profiling falcon and keeping a black super solider secret = highlighting how America has a long history of racism
(Just to make it clear though, I think the above are both very valid points worth addressing - just disappointed the script writing is very ham-fisted in doing so)
I'll extend my prediction to be even more specific - they are going to do a han-solo (literally the same actor!) where you find out the "terrorists" are actually preventing the U.S Military from making some sort of post-blip power-grab with a new super solider army, they'll shove in how the government have decided it's in their interest to side with hydra now or something stupid for extra "they are not just bad, but their nazis!!!!" points as they think the audience is too stupid for nuance.
Captain America will have to make a choice between getting the syrum back for hydra/U.S Gov and therefore getting his own super powers, or doing the right thing and siding with the "terrorists" and destroying it. But he'll fail Frodo style, then Battlestar will, in a axe commercial moment, become the hero and stop 'cap. This then sets up the heroic Battlestar to convince Falcon to take on the mantel of the shield, and that's how the show will end. Bucky won't get a redemption.
I mean just look at the casting, you really think a mixed race ginger haired woman is going to be the villain, and an aryan white male will be the hero, in a 2021 Disney show? 0% chance.