Looks niceHi Steamchick.
First, what can you say about long time (?) use of lathe with new motor.
Here is my take of Unimat motor.
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It is a 200W spindle at 48V/12000RPM but at 24V it is just right at 6000RPM.
Pulley is custom made and is fixed between a shaft shoulder and chuck cap.
Heating is no problem.
It is speed controlled.
Some equivalent spindles are listed below:
Your choice of motor seems also smart -to me. I thought at it somehow; and even thought buying a a second hand cordless tool - 24V could offer such a motor and electronics at cheap. It seems they have the same motor as yours and can take enough abuse. And if their plastic housing can take the torque, for sure Unimat SL can take. Anyhow, the belts and their wise use limit both harmful torque on lathe and excesive heating on motor.
Dave