Your current 800 display is only 100% compatible with a Lishui controller brand, it might work with the KT controller and it may not (likely some programming will differ)
Controller and displays are digital and have two way comm's between each other, items not compatible may partially work but it is best to buy paired items or items from the same brand.
Unlike Bosch, Yamaha etc that only work with battery, motor and display (using more sophisticated CANbus) Lishui,KT and the like can use any battery and other peripheral item such as PAS, throttle, speed sensor etc,etc, if the wire sequence is correct.