Yeah, if your motor has capacitors, then it's a true single phase motor. So the VFD issue will not be in play.
I notice in the poop sheet that this is a "premium efficiency" motor and another known issue with them is that in order to get higher efficiency, they lower the impedance and winding resistance, resulting in higher inrush currents. So the fact that it hold in under a "regular" 60A breaker and trips on the GFCI breaker might be due to the breakers having different instantaneous trip curves.
Or it could be that the higher inrush and starting capacitor surge causes a high DC offset in the AC line that is causing the GFCI to trip.
Also, since this has an external OL relay on the starter, is that a solid state OL relay by chance? Sometimes it's hard to tell now, and the "self powered" SSOLs have a little power supply on them that might be a source of CM noise too. In addition, some motor starter coils are now also solid state, so they too have a power supply that can create CM noise. Just another guess, because now I've got nothing else. But it comes down to why a standard breaker would not trip and a GFCI breaker will; it usually comes down to SOMETHING being misinterpreted by the GFCI sensing circuit.