Hi Joey,
KEIL provides lpc18xx 43xx spifi programming code in the path " ...\ARM\Flash\LPC18xx43xx_S25FL032", you could modify that programming algorithm based the new flash characteristics like address cycles, page size, sector size.
The devices on the table you mention were the ones tested to work as boot devices for the LPC18xx and with the SPIFI API but other devices that comply with the following guidelines are also expected to support the boot code:
• Any device that can accept a 03 read serial opcode after receiving an FF opcode is expected to boot successfully.
• A device that switches to quad opcodes and doesn't return after an 0xff reset to serial mode might not boot after a reset.
Hope it helps!
Best Regards,
Carlos Mendoza
Technical Support Engineer