My assumption was that all of the boards were using the same type of earthing system and bonding was done to that same earth. Remember, we have no idea how large the factory area is, it's entirely possible that a remote part of the factory could be TT given the age of install (or even another supply...but the latter not so likely in this case).
If it is TNCS then you should have Neut and Earth with very low impedance at the head, with TNS not necessarily so. No difference really on how to proceed testing though!
Could you not arrange to arrive earlier ie pre factory start up to test?
WRT the shocks don't assume it's neutral t->earth PD/current flow, it may not be.
Food for thought: Just because a Meter/inverter hasn't completely failed when IR testing it, doesn't mean it hasn't been damaged. For example, the decoupling of the AC/DC sides is accomplished with capacitors internally and they have various states of well being between working/failed completely. You could end up with your Meter, or the inverter, dumping a nice DC current on to your neutral, post IR testing. Think about the symptoms then, when testing the PD on the phases to neutral.