If you refering to Surge protection, its not a case of what type of inverter more than what does the inverter do with Output vs Ground Pin
The way surge protectors work is that big surges get send back to ground:
If your inverter is loose-standing ie: not installed and hard-wired and not properly grounded, that surge she is gonna eat your inverter alive.
In the case of the Mecer 2400 it just sends ground back to the input wire, so the moment you unplug it that surge has nowhere to go.
I have seen proper inverters that actually have a trip switch on output. <-- they ok for surge plugs.
Edit: Meant to add that surge plug ground is meant to trip the switch on your DB board killing the feed but if the inverter doesn't have a trip switch, its just gonna continue feeding power via batteries to whatever is overloaded till it basically kills itself.