It depends on the individual recycler, and how "gun savvy" they are. I've never had a problem taking brass or primers and selling them for scrap. I keep the primers separate, just so they can run a magnet through them and see what they are, but they just dump them in the bin with the brass after weighing them.
Some unscrupulous scrap dealers will try to tell you cartridge brass isn't salvageable, and tell you they'll take it off your hands for a few cents a pound, but it's ploy to make a huge profit off the brass. The market is down a little bit right now, but still hanging around $1.00 a pound for yellow brass, which is what cartridge brass is.
Hope this helps.
Fred