Troubleshooting wifi drivers is hard, since there are so many different chips. And we don't all have the same ones. I only have the EW7811Un version.
Boot the system, then plug in the wifi stick.
Post the messages at the end of dmesg and lsmod. Do that for the working raspbian system, then for piCore. Also, what is your kernel version in raspbian?
As for speed, not sure you will notice much of a benefit from the 5Ghz range. Network throughput is still pretty crypled from the usb.