This is pretty much the same thing is a traditional heat sink with active cooling. Did you ever see the one Old Lumens made?
Or LinusHofmann started one, but I don’t know if he ever finished it:
The heat sink design needs to strike a balance between surface area, thermal mass, and thermal conductivity. So, the fins or wires should be thick enough to conduct heat through the entire heat sink, thick enough to hold a useful amount of heat, and thin enough to offer lots of surface area. A scrubber might be too thin to hold or move heat, while a solid block doesn’t have enough surface area. CPU heat sinks seem to have a good balance.