When I first watched this two-parter, I saw them as two different stories due to the episodic nature of each part; Part One being the "true" story and Part Two being an inferior continuation, almost a sequel. This is not only incorrect, but almost an insult to the storytelling at work here. Part 2 is very much the same story, simply the other side of the coin to Part One - much like the two persons of the titular character.
Although less detailed, Part Two is just as symbolic as Part One - this time less through the background and the world and more through the character of Two-Face himself. While physically the two are whole, mentally they are still divided - throughout the episode Two-Face's body language, voice and facial expressions are used to show the current dominant half, more subtly than in Part One. Additionally this episode completes the tragedy - something I missed on my first viewing. The end of Harvey's fall isn't when he becomes scarred in Part One, but in this episode where both halves completely lose control, incapable of any decision.
Overall, this is among my favourite stories told in Batman: the Animated Series, and was a great introduction to a now-beloved character. Stacked full of symbolism and tragedy, it truly gets better with every rewatch. Unfortunately, the interpretation of the character shown in this story isn't used for most of his other appearances; elsewhere, Big Bad Harv is firmly in control and coin is a decoration. As Thorne says; the brighter the picture, the darker the negative.