Wonder what you'd get if you alloyed tungsten with vanadium and titanium, to harden it?
Would that be "Krell metal" of the old sci-fi movie?
It’s all about sectional density, lighter bullets in proportion to physical size don’t retain enough energy. You may be able to push them faster but they slow down faster too, Without sustained velocity you get a trajectory shaped like a rainbow and accuracy is a guessing game. The current non-lead .22 ammo is 50 yard plinking ammo only.
It would be too brittle. Now, combine tungsten and inconel and we are starting to get somewhere.