Same here. Not the leading part but a bronze brush just helps to break some grime free. The jag is next to wipe everything away. I follow that with a loop with a patch to wipe any leftovers. I enjoy cleaning and really take my time.Usually Brass Jag only.
If I have a lot of leading (rare with a .22) I will use a bronze brush followed by patches on a jag.
You've obviously never been school in my Grandpappy's school of bailing twine with a lead fish sinker molded with pliers around one end, and a noose on the other end to hold the piece of motor-oil tee shirt.This is quite an improvement over my early days when I was taught to use 3-1oil and a old coathanger my dad had straighten out cleaing duty.