Your WLAN stick needs at least a firmware. You need to copy the file htc_7010.fw from Ubuntu to the PS2. I think the destination directory is /lib/firmware/.
Maybe the USB id is not detected. You need to enter lsusb to get the USB id. This must be part of the file /lib/modules/kernel-version/modules.usbmap. You can try to copy the entry from Ubuntu to the PS2. It is possible that newer revisions are only supported by newer kernel versions.
You can force to use a device by writing to sysfs:
linux - Forcing driver to device match - Stack Overflow
Note: I didn't tested this, but in the past I used bind and I thought that the new_id sysfs entry is called bind.
If the driver is not compatible, the system may crash.