Not an RVer, but do not the Canadians require that the neutral be bonded? If so, one would not want the possibility of two different grounds to exist simultaneously.
Just thinking out loud.
It would be interesting if somebody with an eu2000kc2 (Canadian eu2000i) could look in the Owner's Manual to see if the statement about outlet testers showing an open ground is there, or better yet, report what an outlet tester plugged into the eu2000kc2 reports. I can't find the eu2000kc2 Owner's Manual online anywhere to look at it myself.