He is tied to the grid but off-grid, the unknown is how the grid-tie inverter will behave with insufficient load drawn. I am curious to find out as well. My guess is the 240vac side would rise in voltage, then smoke comes out of the small dc-ac grid faker. It's possible that the PIV6000 would shut-down upon seeing output voltage outside its limit. Page 82 lists upper AC voltage at 264vac, page 84 lists UL1741 only, no frequency shifting capability. This is a garden variety grid-tie inverter.
Have a proper fire extinguisher on hand when you do the test, and please report back. That 264vac would smoke the little dc-ac 240vac. Oh, it'll need to be a pure sine wave as well.
What price range are we talking about here ? again, what kind of load.
A possible solution is to get a grid-tie inverter with a CT pick-up coil, which will limit production. Self-consumption grid-tie inverters are popular in the UK, and increasingly here in the US as utility companies are pushing back against feeding the grid.
$269 off-grid, lowest price I've seen:
This pure sine wave inverter combines functions of 1600Watt 220Vac 12Vdc pure sine wave inverter and 80Amps charge controller for most battery types.
powmr.com