Earlier quoted context omitted.
Anti‑islanding detects the power frequency and constantly tries to shift it. If the grid is on, its frequency won't budge, so the anti‑islanding doesn't trip. If the grid is off, the frequency shifts and it shuts off. A second one would just make it shut off faster.
Curious: is anti-islanding an actual feature, or a necessary behavior of any power source that adds power to the grid? I can't imagine how a second power source would work at all if it weren't syncing to the main source's AC phase. So it seems that if you implement the syncing, you get anti-islanding for free (assuming you handle the case of a missing main source phase by not providing power at all). This is a newbie…
Simple grid-tied microinverters are completely incapable of doing anything without a grid to work with, and this is necessary: A non-synchronized AC generation source can't survive long before becoming an expensive puff of smoke instead.
Anti-islanding is an actual feature that is also inherent in the design of grid-tied inverters: When there is nothing for them to sync to, they output nothing.