I used to use a similar cleaner, it worked fine but I quit using it after a few years. nowadays I just wait until after a rainy ride to service the chain rather than once a week etc.
I run water over my brake tracks and the chain to flush all the grit and black shit off. then I spray WD40 all over the chain to Displace the Water. after a while, I soak a rag in Simple Green and grip the chain with it. crank backwards and move the rag around every couple of cranks. the first few will leave solid black lines on the rag, a few more and they get lighter and less solid; I quit doing it then rather than autistically trying for a completely clean line on the rag (it won't happen anyway.) let the chain dry for a while, then hit each roller with a drop of lube. crank a bit and let it soak in for like ten minutes, then wipe off the excess.
that sounds like a pain in the ass, I know, but using that tool is an even bigger pain. similar process but more futzing with the tool and dumping the degreaser to get a perfectly clean chain which is a Sisyphean task anyway. the tool is total overkill.
I do really like that brush, though. the bristles are really stiff but long, and the toothed arc is for the crud on the spaces between cogs. do recommend.