Not starting on high speed, or slow starting on high speed, and similar starting problems, is traceable to RPC systems having too high a source impedance for the load.
Obviously, utility three-phase doesn't have this problem. The source impedance of each of the three phases is the same, and is very low (exception for so-called "wild leg" systems, more correctly called "open ∆").
An RPC system simulates, to some degree, an open ∆ in that the source impedance of two phases, Phase A and Phase C, is low or very low, whereas the source impedance of the remaining phase, Phase B, is much higher. It is very much higher in the case of an RPC system, whereas is it just much higher in the case of utility open ∆ three-phase.
So, the solution to the high speed starting problem, much as the solution to starting an air compressor, is to provide an RPC system which has a much lower source impedance for the manufactured phase. (The source impedance for the remaining phase will remain very low).
This solution requires a much larger idler, and more balancing capacitors.
It may well be that you will have to go to 2 times the rating of the tool motor. Possibly more than two times.
This would make a very stiff manufactured phase, indeed.
The other solution is a Phase Perfect.