Denture cleaning tablets sometimes work (basically citric acid if you look at the ingredients) when used with an old toothbrush to get into the slots. Don't use a metal brush or heavy abrasive on nylon reels as it will roughen the surface. I'd start with something gentle, and work up. I would also suggest gloves and eye protection if you are using some of the acid or caustic items. Cleaning things always splashes.
The Steradent tablets I used to use for my Nova slot processor had sulfamic acid as the active ingredient. I now buy powdered sulfamic acid.
The problem with proprietary products is that they might be available in different formulations so you won't get what you thought you were getting. A good example is Calgon, which is different in different countries and at different times. They may well all work for their intended purpose, but if you want a particular ingredient for a developer, for example, they may well be different.
Bar Keepers Friend exists in different versions too, I think I read, one without abrasive and one with.