NETGEAR isn't the company that will automatically distribute their routers with a default WEP key. They'll give you the option to buy one with a WEP already on it, but that is vary rare.
If your WPA2 is working when you go through and set-up everything on your DSi's home screen internet settings and run a connection test and everything tests perfectly then it should work perfectly fine in game too. To be sure though and I can't remember how to do this on the DSi and if you can or not, but go into the DS connection set-up and set-up a connection through there too. If it runs perfect without it saying anything its not being able to connect then your connection is perfect for wi-fi play on any of your original DS games.
If that doesn't work then go through this little check list that I'll do at my friends house when trying to connect on his WPA2 router:
1. Did I not screw around with my DNS settings (e.g; using the PokeGTS distributor) and forgot to switch it to tell it to auto-obtain.
2. Make sure that you remember your exact log-in to that WPA2 router. If you sometimes mistype a letter or accidentally capitalize a letter when it shouldn't during the set-up stage then that will also screw you over.
3. Last but not least. If you know you've logged into the router correctly and its still not connecting then physically go over to your router and do what we in the business like to call a "Power Cycle." Is what this does is that it'll go and reset the data to everything that has been connected to it and then start them fresh. How to do it you ask? Easy:
3.a: Unplug the power cord from the back of the router. Then unplug the ethernet cable from the router(if your using a modem too then unplug that cable from it too).
3.b: Wait for about a good 30seconds to a minute(yes I know this might seem like a long time to have to wait to be able to play Pokemon but hopefully it works).
3.c: Then plug everything back in, but in this order: router power then wait until all lights are are solid except for the modem's, next both of the eternet cables but make sure that you plug them back in exactly where you unplugged them from.
If your still having trouble connecting then don't hesitate to PM me at any time.
Um no they can't....The only occurrence they would be able to which is rare, is if your playing some some retarded version of an Emulator that doesn't work strongly with wi-fi. By the way, Emulators only work on PC. There is no way at all that they mess with a DSi's connection settings. I don't know where you got that idea from, sorry if that was a bit harsh but it was kind of a dumb post. If you didn't know what an emulator is then you should of looked it up before you posted it to help yourself be more clear on what emulators are and how they work.
Now to the main question at hand:
This just basically states that the DSi can't change the setting straight from the game. You just need to go in and change them from your DSi's home screen. Just push the power the button and it will take you straight there.
Its not that hard to do it. I think back when you were trying to do it the GTS was down at that time. Its now back up and running. The was you do it is go to your main DSi's connection settings and then click on the one you already made. It says that IP and all that are all set to "Auto-Obtain." Now scroll down to where it says DNS, turn the "DNS Auto-Obtain' option to "No/Off". Now afte you do that insert the DNS that they give you here. After you do that the change the one under it still under the DNS section. It should say something like "SubNet Gateway" or something like that. Make sure that they both match up. Then save the the settings or run a connection test. It should pass without any problems at all. If it does have a problem then make sure that the numbers are exactly the same as on the website. You can even edit a Pokemon to your liking and then press submit and go into the GTS, but make sure that your party is full and make sure that you leave the first spot in your box open. Then go in to the GTS and through the whole process of entering it. When you get in there you'll automatically stay walk up to the Trade Machine. It will start the whole process of connecting to the GTS server. It make be an instant find or it make to a while depending on how strong your signal is. Then as soon as you get connected your Pokemon should arrive. Then be sent straight to the first slot in your first box! Enjoy! Oh, the one thing I forgot to mention is that you must keep the pokeGTS page that you use to edit your pokemon on or it will disconnect automatically. I hope this helps and have fun catching all 150 pokemon in a matter of minutes-hour! I hope this helps you and anyone else who has trouble with the GTS. If you need help or have anymore questions make sure to leave me a question on here or in my PM box!