Which interface do you actually WANT to use?
The 9320 is very similar to the 9325. You just have a slightly different initlcd.h file. So you can adapt any existing 9325 files.
If you want to use SPI, bear in mind that the 9320 or 9325 use a whole "control byte" instead of a D/C line.
And UTFT bit-bangs any SPI rather than use the hardware.
It is simple enough to add hardware SPI for any target microcontroller. But you must use the correct hardware pins.
Likewise, the default 8-bit and 16-bit parallel drivers assume specific hardware ports and pins.
Either use the default wiring or rewrite the driver to suit your wiring.
UTFT is excellent for adding a new controller or new microcontroller hardware driver. It is never going to support read operations and is always going to be SLOW.
David.