Moly coated bullets -- occasional use issues?

[JNewell]

I found some moly coated BH and Hornady .308 match ammo in one of my ammo cans. I've shot exclusively uncoated copper bullets in my 700 and have been under the impression that moly coated bullets can leave residue that needs to be cleaned out but can be a witch to get out. I've got 4 boxes of this stuff total -- am I going to wind up with moly residue that I'm going to have to clean out, or is that a load of nonsense???