jt402--You apparently are not doing something right. More specifically, several somethings.

I shoot both paper patched ammo and greasers. I hunt with both. My grease groove ammo does not attract grime or dirt. If yours does, you are not loading it correctly.

As far as paper patched ammo is concerned, I have no problem whatever unloading my rifle and having the bullet stick in the lands. When I remove the unfired cartridge, the paper patched bullet comes out still in the case. You are apparently not loading your paper patched ammo correctly, either. You are not expecting too much, you just have to do it correctly. FWIW, I don't like or use tapered bullets either.