Again, unless the lathe drives are overly sophisticated, nothing having to do with the Decel rates is going to affect the incoming line.
I'm now thinking again about the braking issue being electro-mechanical brakes, not VFD dynamic braking. EM brakes typically create a heckofa voltage spike when they release (inductive kickback), which is how they work; energize to release, de-energize to brake. When a VFD such as the Carrier Unit is running and there is a large ringing voltage transient, meaning a portion of the transient drops BELOW the Forward Conduction Voltage threshold of the bridge diodes, the rectifier bridge will stop conducting into the DC bus for a few cycles, yet the transistors are still feeding energy to the motor, pulling it out of the bus caps. This then can cause a current spike as the capacitors recharge themselves when the transient is over, but because the VFD is ALREADY running, the pre-charge resistor is not in the circuit to prevent that current spike. So the VFD detects it and shuts down. The answer to that is to put a line reactor ahead of the carrier VFD, slow down the rise time of that transient, stretch it out across multiple cycles.