Well, the Prog Ind EMS doesn't like this inverter (same as OP's). It refuses to start up with an E2 or "Open Ground" error, but says there's 118VAC present at 60HZ.
And with Prog Ind's strong words against bonding (quoted earlier above), I don't think I'll try that. Have sent Prog Ind an email about it but no response so far.
With both my VOMs (digital), I get similar results at the inverter output as the OP. And testing my trailer 120VAC wiring with the ohmmeter shows no bonding there.
So, the transfer relay has arrived and will be going in between the EMS and 120VAC distribution panel, eventually. And the trailer's 120VAC will remain floating (unbonded).