Ces741 Bias Transistor

Ces741 amplifier is very successful.
Its assembly is very important. I cool the drive transistors separately. Need to connect the bias transistor to the main cooler? Or should it stay idle?
Video test :
YouTube
 

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The 'Bias transistor' should be close coupled to the output transistors to achieve reasonable tracking. The drivers are not so important as when they warm up, the quiescent current increases as does the output transistors heat, that warms up the 'Bias transistor' which reduces the quiescent current. Helping to keep the amplifier more stable.
 
If the heat sink isn’t big enough it isn’t big enough. The bias regulator helps keep the quiescent bias from running away. It just needs to track the hottest transistor, which is typically the output. But it can do nothing about the dissipation and heat due to loading. That’s just a matter of supply watts minus speaker output watts, which can be high at 4 ohms at war volume.