It would be dumb as heck to use Tungsten as Lead is far less expensive and easier to work with......
At least Tungsten would have “SOME” Value as Lead would be essentially worthless....
I read the reason for tungsten is the weight among other reasons it is supposed to be the easiest way to disguise it.
Lead also has a density HALF that of gold. Tungsten on the other hand is almost identical. An assayer can spot lead filled in a heartbeat. Tungsten filled gold coated? Get a drill.
Density
Lead : 11.35
Gold: 19.3
Tungsten: 19.3