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It's like the Xbox 360; the developers decide whether or not they want their games to be played on foreign systems or not, so it's the games, not the systems.
Beyond being able to play a game earlier than most people (or play it at all for the un-translated games) are there other reasons people import?
Not nessesarily even untranslated - there are some games that are freely available in the US but never made it to Europe so UK gamers can't play it even though it's already in their language. This was most frustratingly done with Tales of the Abyss for the PS2, but happily it's been rereleased on the 3DS everywhere including Europe.
Some games are also either cheaper or much easier to find in some places than others - you can get the Ace Attorney games cheaply in pretty much any UK game store, but I hear they're much harder to find in the US, whereas the Tales of games are slightly rare/$20-30 in the US, but in the UK Vesperia and Symphonia go for over £50/$80 each.
Heck, Xenoblade was released exclusively to Europe and then later released to the US due to demand. And like you mentioned with BW (and I think it was also the case with Skyward Sword), the UK has released major games a few days before the US.
Unfortunately it ends to situations like mine, where my Lite breaks and I can no longer play my inexplicably-NTSC TWEWY or my Japanese Edgeworth 2, even though I really really want to and I have the games. :C
Buying a new TWEWY would be getting on for the price of a new second-hand DS, and pretty sure Gyakuten Kenji isn't ever being translated? Between this and no GBA slot the 3DS feels a lot less useful than its predecessors, but I'm pretty sure it's all the internet content that requires it to be locked, right?
But...if I'm not mistaken, can't you play DS games from any country on the 3DS? The games themselves aren't supposed to be region-locked, after all...
Get three to a GAME shop! I don't know how much they'd be selling Lites/base DS consoles for, but I got my PSP there for £30 and I think the 'aaaaaah we're probably being shut down!' sale is still sort of on, so I doubt it'd be too much. If nothing else, having a GBA slot for uploading Pokemon from earlier games is useful, and you'll be able to trade with yourself.