Primer compound contains lead stephanite. The residue of fired primers will probably contain lead, So, I remove this stuff before putting the cases in my dry tumbler. I don't want any lead particles in my tumble medium or at least minimize it. If you wet tumble, you can just flush it down the drain when you are finished and I wouldn't bother removing the residue before tumbling. And besides, I'm a little OCD so that's another reason I remove the primer residue.