In my view, a bore snake is worthless. In fact I have a few if anyone wants them, they can have them....
I also find Hoppes to be close to worthless as well and may be fine for lead pills but for FMJ gilded jackets it's basically worthless. I only use it as an after cleaning elixir but then again, I only shoot jacketed pills. I use BTE exclusively and always with a bore guide inserted in the chamber to keep the BTE out of the action. When I clean my revolvers, I put a rag at the forcing cone end to catch the drips.
BTE, like Sweets will attack bronze brushes so I only use nylon brushes, nylon jags and patch pullers and Dewey carbon fiber cleaning rods.
Before I start, I borescope the barrel to see how bad it's fouled and afterwards to check to see that the BTE has done it's job, removing carbon. powder residue and copper fouling. If any remains, I repeat the process and with BTE, you don't have to apply a rust preventive to the inside, the BTE is a rust preventative though I do wet patch Hoppes, it's only personal preference.
I've seen some horrible tubes in my day and a fouled tube won't group worth beans.
Probably don't matter much with a handgun shooting close or an AR shooting 100 yards but I typically shoot much, much farther. All my guns are zeroed at 200 yards except the handguns. I sight them at 50 yards and the 460 is at 100 yards. Even my 223 is set at 200 yards.
I want that pill to go exactly where I point the firearm and a clean tube (and chamber) is necessary for that to happen.