Sakurai wrote:"Connectivity can depend heavily on location so I really don't know what to say. At the very least, we've confirmed that smooth play is possible under various conditions of external networks. During multi-player, you're connected with another player and sending light amounts of data back and forth, so if the game feels laggy, it's due to the connection speed. If you play when it's laggy, then the person you're playing with will experience the same lag, so it's best to play when the connection is clear. During development, there were cases where we had too many people and the connection became sluggish, so we turned off our cell phones and the connection would clear up. It's best to avoid playing while streaming something or by a tethered connection. Free wi-fi spots are probably not very good either."
Link
I guess most people should be fine if there just using the wi-fi to play there matches and nothing above that. I feel like I will get a little lag though since I don't have the best wi-fi but, other 3DS games worked fine for me so who knows.