Good use for a repurposed universal motor, Bruce.
If there's a need for variable speed from a small motor then the universal motor is a good candidate for that.
Note: For those of you who are unsure of your motor's general classification, look for the tell tale presence of brushes to tip you off to the motor type. Brush holders are often exposed on older motors because manufacturers made them accessible for easy replacement by end users. Universal motors are often used in hand tools such as rotary hobby tools, electric drills, or a raft of other small tools due to the motor's relatively high torque at low speeds and ease of speed control by lowering the voltage.
I'd personally look for a cast off universal motor or perhaps an old hand tool to use as a base for building a winder.
Lowering the voltage to control the speed of a standard induction motor increases the amount of "slip" as the rotor chases the magnetic field generated by the motor's fixed stator windings. It works, but you pay for that in lowered torque, increased heat, and lack of stable control of the motor's speed.
With the increasing use of electronics there has been a commensurate increase in the availability of variable A.C. frequency drives that do offset the disadvantages of trying to control speed on a standard induction motor. That's a viable solution for slightly larger motors, but not so much for a small motor like what we would want on a winder. There is also the cost to factor in.
The universal motor on the other hand, is easily controlled by means of a simple rheostat, variac, or any other means of reducing the voltage applied to it.
Probably TMI, and I don't mean to side-track the topic, but these are salient points about motor selection that should be taken into account when home-brewing a special purpose machine. (Since one of my driving forces is "frugality" that's why I went with a $10 drill to gain speed control and good torque at minimal rpm when ramping up to winding speed.

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