Normally you do not connect your stove or other power hungry devices to your inverter. That means when the grid is down, those devices receive no electricity. However, when the grid is on, the Sunsynk is clever enough to see that you are using such devices when there is plenty of battery or solar power available and overrides the grid to supply even those devices with power. The Luxpower is not able to do that.
With the Sunsynk I can determine the amount of battery charge that should be available in six different timeslots. That way you can fine tune what mixture of sun, battery or grid should be used during those timeslots.
An example of this is that I can tell the Sunsynk that I want 70% minimum SOC between 6pm and 9pm. When I start using the stove, the inverter sees that there is plenty of battery power and uses that instead of the grid even though the stove is not wired through the inverter. When the battery reaches the predetermined SOC, power is drawn from the grid to maintain the SOC in the unlikely event that it is needed. The Luxpower cannot do that.