A Rotary will almost run anything. The OP? Is about static I don’t believe they don’t have the torque. A good VFD will allow you to set the amount of amps available at startup, usually 150%, some a can higher. I would think a Rotary would do it subject to the slave motor HPA bigger Rotary phase converter ?
I know they can run welders and we know how hard are with apparent power
Thus, when you first switch it on, the motor has to work very, very hard to overcome the flywheel inertia to bring it up to speed.