It seems that the inverter is powered from the battery on my side if set to pylon under battery. I've measured that the inverter pulls 0.002kwh from the wall with nothing connected but only the battery. It will then discharge the battery to around 95% and then charge it again. Combined this uses around 0.1kwh. Sometimes more sometimes less. This however shows that the inverter uses the battery to stay on and not utility. So I assume what happens here is that it will charge to 100%, then use battery to power whatever is running through it until it reaches 95% and then charge back up to 100%. Rinse repeat.
If I switch my battery type to user instead of pylon using the same settings as pylon with nothing connected, the discharging and charging stops and the inverter pulls around 0.08kwh and keeps the battery at 100% at all times.
I've emailed the battery supplier directly and one of their technicians told me that pylon batteries do not like to sit at 100% at all times, hence the discharge and charge. How true that that is, I don't know.