An RPC typically uses a capacitor to smooth out the unbalanced voltages on the manufactured leg when feeding a motor, but as a piece of rotating machinery, the motor actually helps to make that even better. But remember, the other two legs are 180 degrees from each other, not 120 degrees like on a 3 phase system, then the manufactured 3rd phase is somewhere in between two of them.
So when feeding a bridge rectifier, like on the front-end of a VFD or Servo Amplifier, the diode pulsing that takes place in the bridge will not be as evenly balanced and also because diodes fed from capacitors see the capacitor almost as an infinite bus, the net result is that the DC bus on the other side of the rectifier will have considerably more ripple, and that's what's bad for the drive. The DC bus smoothing capacitors will run a lot hotter and the transistors for the output don't like rippled DC feeding them.
So as I see it you have two choices: you can over size the kinetics units to end up with more DC bus capacitors to smooth out that ripple (just as you would if feeding it with single phase power), or instead of a cheaper RPC you actually buy an M-G set, where a single phase motor drives a true 3 phase generator. The output of that will be a true 3 phase sine wave. That's the way I would go itf this is temporary (and especially if you have already bought the Kinetix).
Now if you have already bought the RPC as well, then you may as well try it. I would put a Line reactor ahead of the Kinetix feed to help a little more with balancing the phases, but in Kinetix, if it detects excess DC bus ripple, it will trip off line and indicate a Phase Loss (that's actually how it detects a phase loss). So you will not likely harm the drives, but you may not be able to run them.