The copper came only on the 1.42 FW800
The two heatsinks would be interchangeable on the FW800
I suppose with the 1.42, the copper heatsink would be
desireable, as that is what Apple used when that 1.42 was installed.
I don't have a good opinion on if you "should" find a copper one. Being copper, the cooling characteristics would be different than the aluminum. All things being equal, the copper would have better cooling, compared to the aluminum.
But, you would want to also pay attention to the quality of the heatsink compound on an over 15-year old processor. Look for a "real" copper one, if you can find one.
Apple's original part number for the copper model that came on that "best" configuration is 076-0983 (from Apple's service manual)
I quickly found several companies that offer that heat sink -
https://www.macpalace.com/076-0983-heatsink-kit-with-spring.html
So, maybe won't be too hard to find. (Did see one for about $200 US, so you would like to check several different sources for that, too

)