It could just be my perception, and is definitely a generalisation if not, but the US seems to dislike changing old things. Old rules and institutions etc.
Nothing about modern America is that old at all, a hundred years ago we may have still had the same form of government, but our ways of life were completely different and our government played a much different role in our lives. All of this is new, like within the last century.
And as sandworm alludes to down thread, Americans (USG) extended full faith and credit to all notes, whether old new or counterfeit, so that faith in the dollar would never come into doubt.
Less now than in decades past, but still to a large degree.