Too many things getting crossed up from the original question.
There are many variables that make it impossible to answer definitively.
What type of meter, what type of inverter, what type of neighbors.
I have an analog meter. It spins backwards when I export. As long as my meter reading is higher each month, they can't tell. At some point they may question why my usage has dropped.
Many people have smart meters that report the smallest export, there is a thread on here about the power company calling them out on the smallest amount. There are digital meters that aren't smart meters.
My understanding is that there isn't a AIO inverter that is perfect when it comes to the zero export setting. My Sol-Ark 15K isn't, that I know.
About killing linemen, that isn't part of this discussion. There are lots of ways to do that that don't involve a grid tied inverter.
So, Sparky basically answered your question, as for grid tied with zero export programmed, it's not perfect.