That's an very interesting statement about "export".
For my understanding, the EG4-6500EX-48 is a pure off-grid inverter which is not able to export anyway. From the electrical theory point of view, an exporting inverter is a current-source which does NOT create it's own sine wave, instead it just pushing current to the grid which will result in automatically create the sine wave (follow the grid provided waveform). An off-grid inverter is a voltage-source which generates it's sine wave by itself. So these are two completely different use cases (maybe achieved with the same inverter hardware with intelligent logic to switch between these two modes - some call it hybrid).
I found the similar inverter (a different re-branded Voltronic) from a company called Phocos (PSW-H series). I found the following statements in the manual (
https://www.solar-electric.com/lib/wind-sun/Phocos_PSW-H_Series_manual.pdf).
page 2: "Grid injection of excess energy possible where it is legal, with or without a connected battery. Accidental injection is prevented by requirement of a PIN code for activation"
page 4: "The Grid Injection functionality allows feeding any excess power into the grid. If there is excess PV power beyond what is utilized by the load and for battery charging, this power can be fed into the public grid to take advantage of net metering or feed-in tariffs. In this way all the PV power can be used even if the battery is full, and the loads do not require all the available PV power. Feeding into the grid may be prohibited in some areas so this function is locked by a PIN code to avoid accidental grid injection."
page 28: There is a program 08 (which does not exists in the EG4) which is called "Solar power feed-in into grid" with default "Disabled".
View attachment 142920
So I assume, that the EG4 inverter would be also technically able to feed energy back to the grid and it's just disabled in the EG4 firmware. That's maybe the reason why you've written "It guarantees no export when consuming between 300-500 Watts"?