Based on your cleaning regimen, I don’t think you’re doing anything wrong to the point of hurting the rifle/barrel. The fears over damaging a barrel by cleaning it are largely overblown. Possible? Yes. Common or easy to do harm? No.
With that being said, I’m with others in that the frequency plus the extent of your routine is a bit overkill/unnecessary. Particularly with the copper solvent. For me, I typically don’t go after the copper until accuracy starts to degrade. I don’t really use it as a preemptive measure; outside of when I elect to break-in a new rifle.
For rifles that I don’t really use for precision work, it’s a bit harder to pinpoint when accuracy might start to degrade. As I’m not frequently shooting them for groups. So, for rifles in that category, I’ll add a copper cleaner (Butch’s bore shine) around every 3-5 cleanings or so.
FWIW, I’m one of many who isn’t afraid to “scrub” the bore with the brush. Push though, pull back, repeat. Never had an issue as a result. So, again, I highly doubt you’re doing anything with your cleaning that’s harming your rifles.