Choosing White 2 over Black 2 in the context of NDSi enhancement comes down to aesthetics and post-game content.
The most notable enhancement is tied to the in-game Xtransceiver. On older DS models, this device is limited to standard voice chat. However, when playing on a DSi, its full potential is realized:
Unlike standard Nintendo DS games, which carry the "NTR" product ID code, Pokémon White Version 2 is built on the . This means the physical cartridge is embedded with extra hardware data designed to exploit the superior internal specifications of the Nintendo DSi and Nintendo 3DS families.
Pokémon White Version 2 : The DSi Enhanced Experience Released as a direct sequel to the original Generation V titles, Pokémon White Version 2