Braiding yes or no

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Braiding seems to add length and therefore inductance over loose twisting. Not sure if that is enough that makes a difference. You probably should move the base/gate stopper resistor to the transistor pin to minimize the chance of the lead inductance and transistor input capacitance interaction causing oscillation.
 
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A simple twisting of the Collector/Emitter or Source/Drain leads serves to reduce the radiation of power supply and switching noise. Every cm. of power lead increases EMR by some small amount and there will be some reduction in noise and distortion by twisting leads, however small.

The principle is to twist the feed and return of all high current lead pairs as closely together as possible. Power transistor emitter and collector leads, would be an example where this applies. I doubt there is any good reason to include the base/gate lead in the twist, though - probably better to avoid it completely.
 
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