An interesting discussion broke out in this thread. I have little more time now, and I modeled the heating process on a Dave's housing model and Nichia 9mm diode.
Legend:
Baseplate - 15mm aluminium with stable room temp (25°С) down side
Laser diode - silver package with a maximum thermal conductivity
Other components, such as wires or lens retainers are not involved in the model due to their weak thermal effect.
We use excellent thermal grease
1-Diode in nominal mode.
Current - 1400mA,
Forward voltage - 4.6V
Total power - 6400mW
Laser emission power - 2100mW
Heat emission power - 4300mW
1.a - Diode temp results for brass housing
Chip temp - 35.3°С
Diode package temp - 29.1°С
1.b - Diode temp results for aluminium housing
Chip temp - 34.3°С
Diode package temp - 28.1°С
1.c - Diode temp results for copper housing
Chip temp - 32.4°С
Diode package temp - 27°С
2-Diode in overload mode.
Current - 2100mA,
Forward voltage - 4.8V
Total power - 10000mW
Laser emission power - 2650mW
Heat emission power - 7350mW
2.a - Diode temp results for brass housing
Chip temp - 42.6°С
Diode package temp - 32°С
2.b - Diode temp results for aluminium housing
Chip temp - 40.9°С
Diode package temp - 30.4°С
2.c - Diode temp results for copper housing
Chip temp - 39°С
Diode package temp - 28.4°С
To sum up, we have a 3.6°C difference on chip between using brass and copper housings