I don't see why it would matter. Mine is running twice the speed it was designed to and I can still live thread. There is only one motor which controls the head stock and the carriage through a system of gears. They should be synced together. How does the converter change that? I haven't used one but I understood that they just changed the current flow, not the mechanics of the lathe?
I don't see the correlation either.
The saddle still travels at the ratio/proportion the gear and leadscrew are set.
One way to prove this is spin the chuck by hand.