Yes "the dip" is half white vinegar, half hydrogen peroxide.
As for me, I clean them the old fashioned way. With harsh chemicals, gloves and as little work as possible. My city has hazardous material disposal days 4 times a year, and I plan cleanings around those. Have three cores soaking right now in fact.
For cleaning the inside of tubes, I use a small piece of scotch brite pad soaked with automatic transmission fluid, with an old brass brush (toothbrush size) as a handle. Just stick the green pad to the brushes. Hot water every so often seems to help. You can also spin a monocore in the tube to shave some crap off.
If I buy another .22lr can, it would be the Bowers Paradigm. The only .22lr can you never have to clean. When it fills up, say doubles in weight, just send it back to them with $20 for return postage, and they will rebuild it to like new for free.
For cleaning monocores, an old brass bore brush in a short handle between soaks in the dip helps. I also use a couple old pocket knives to break crud off the faces of the core of the shells of a Sparrow SS.
Last bit of advice for take apart cans is to take them apart often. You don't have to like new clean it, but knock the chunks off and make sure it goes back together easy.