To be honest, I didn't feel it was something that needed addressing at all. We didn't need a person to pass the shield onto.
But as far as the mcu goes, falcon was completely unworthy of being given it.
Like I said before, I think falcon is barely a B grade character in the mcu. Flies in, kicks someone, flies off. No character development, nothing. If the film makers had decided way back that falcon was getting the shield, they should have developed his character some. Made him play a role in the mcu. Because I think you could literally delete every single scene he was in, and the movies would still make as much sense as they do now. No one would miss him at all. IMO.