In looking at those before and after pictures, I don't think there is much difference in the actual colour of the water, just the clarity. Those are two different things. You can have quite a dark staining of the water, but the water is still clear, as opposed to cloudy. Your first pic shows that typical cloudiness that a freshly-filled tank usually shows on day one, and which usually disappears within a day or so on its own.
It's like tea in a glass; it can be quite dark if strong, but still completely clear or "non-cloudy". Perhaps a better analogy would be a glass of typical horrible commercial beer versus a glass of quality home-made or craft-made beer. Both can be the exact same colour, but the commercial stuff will be crystal clear whereas the handmade product will usually have some suspended sediment that imparts a cloudiness.
I'm sure that the tannic acid can be buffered out and lost, but I tend to think it would take longer than one day. Did you by any chance measure your pH at the same time as those pics were taken?
I am happy to keep fish that suit my well water, which means no blackwater stuff...which is great because I can't stand the look of blackwater in a tank, even "clear, non-cloudy" blackwater. I just naturally equate the colour of blackwater with a build-up of the kind of waste products that I am constantly changing water to avoid...not accurate, I know, but there it is. I want to enjoy my tanks and I know I won't enjoy them if they look like they are filled with pee.
I also do as
F
FJB
does, by keeping dried leaves in most tanks, in my case oak leaves. They break down quickly, and thanks to water changing they don't produce any noticeable changes in water colour or acidity, but they are greatly appreciated by shrimp and also provide some natural microscopic first foods for newly-hatched fry...and I just like the way they look.
Looking forward to watching this tank progress!