IDK much about bottom feeders (except a 3913 is on its way).
But, I’ve been shooting over 40 years and IMO, running solvent first through a dirty bore or chamber is like mopping before you sweep: it just spreads the dirt & grit around and can carry it in to the action.
I begin with a dry brush on the chamber(s) and bore, getting out as much fouling as I can without any kind of solvent. I watch the amount of soot that sprays out when the brush exits the bore.
For the same reason, I never use bore or chamber brushes wet. IMO it’s going to make more of the soot stick in the brush.
The only thing that goes in wet are patches. Then things sit a while, followed by another wet patch, then dry patches till they come out clean (I go through a lot of patches.)
The only wet brushing I do is with a toothbrush-style bronze to clean fouling around a revolvers forcing cone.
If something in the bore is really stubborn, I use JB bore cleaner, followed several wet patches to clean it out.
BTW, I shoot cast bullets almost exclusively.