Mine didn't, but it could have been a knockoff or a very early model. I remember trying to use either a 4GB or an 8GB micro SD, and it did not work at the time. I also remember copying the content from that 2GB to the newer micro SD, but that did not help. Maybe a firmware update would have helped, but I lacked the tech knowledge back then.I can say that the DSTT supports SD cards larger than 2GB.
Surprisingly, that unbranded 2GB micro SD still works from 2010.