I did a quick test and removed the copper shim an put the
two folded TG Carbonaut, which I cut to fit the CPU:
View attachment 933030
and for me the results when running Geekbench 5 are about the same as with the copper shim.
Unfortunately for me the Geekbench 5 results dropped after installing Big Sur beta, I don't know why, so I cannot comment too much. In Catalina my GB 5 score was ~3500 and now in Big Sur beta it's ~3000. It was ~3000 with the copper shim as well in Big Sur beta.
Now, I'm not trying to convince yet people that a two-folded Carbonaut will be better than a copper shim, but for me that's the situation. It seems this solution might work.