Just use Wipe Out and you'll likely never bother with bore pastes again.
Some folks do like to suffer though.
Good luck w/ your suggested Snake Oil.
OP,
400-600 grit Silicon Carbide-oil base lapping compound will accomplish the task faster than JB's & won't result in tennis elbow.
He's not trying to "lap" the bore, just clean out the jacket fouling is my assumption
JB Bore Cleaning Paste is a abrasive/polishing compound
Jacket Fouling/Copper is easily removed w/ ammonia.
Sweets 7.62 or Windex will suffice.
JB's is a abrasive/polishing compound
JB's Bore Bright is a rouge base polishing compound.
Lapping compound w/ jag & patch saves time & effort.
That stuff is pretty abrasive as I understand it. Wipe out and carb out are your friends. Your barrel will thank you.
Remington used to sell an oily gritty barrel cleaner that seemed to work nicely. I have some and use it when a rifle misbehaves. Don't over do it though.
edi
You can use wipeout and a bronze brush for days on stubborn carbon or you can get it out in one sitting with jb bore paste. Wipeout works about like every other cleaner on carbon, not very well. Jb never hurt my bore
I used to get a lot of very fouled barrels to clean... some times the copper was so much it just took to much time for solvents, for years I would take the worst out with JB and then use Sweets 7.62...(that was most common in the late 60's) ... then Wipeout was invented... so today it's still JB for the worst, followed up with Wipeout.