You may find the single phase ramp you saw actually had different internal gearing or a finer pitch on the drive screw than the 3-phase version even though they looked identical at a glance.
I'd agree this is very likely the root cause. If I were making lifts I certainly wouldn't ask a 2.2kW single-phase to lift at the same speed as a 3kW 3-phase from a standing start, even with less than max lift load. I bet the switch never opened because the motor couldn't get up to speed, and AC electrolytic start caps are only short-duty rated. Inverter sounds the way to go, if you've got the old motor and it can be connected for 230V.