If you heat the water during the day then energy for that comes directly from solar. Yes maybe the inverter loss is about 10% but it is a much simple setup and you do not need a DC heating element and all the diversion components for not much energy.
Keep in mind that water heater is also a limited energy storage device.
You only have about 600W of solar and depending on your location time of year and panel orientation you may have available up to 3kWh per day.
Your battery capacity is double of what your solar PV can produce in a sunny day so there is no issue using all the available solar energy if you want.
Not sure how large is your water tank but say is 20 liters and cold water is at 20C and your limit is set at 60C then a 40C delta is required to heat that water.
20 * 40 * 1.16 = 928Wh so say round that up to 1kWh not even 20% of your battery capacity and a third of what is available from solar PV in a sunny day.
There is nothing you save by not heating water trough inverter and you will still have unused solar energy even if you divert that to water heater. The diversion will also need to be stopped by the thermostat when water gets to set temperature.