I've never done much with black powder lubricant, and the LBT lubes do not work well with real black powder, as a softener for the soot is needed to create lubrication. Using any petrolium product I'm aware of will degrade your black powder lube, as it will not keep the fouling soft.
For the black powder substitutes, no lube will beat LBT Blue Soft. This according to many customer reports and some testing myself.
The old black powder lubes used animal fat. Mutton tallow was popular, and can be smelled in some of the best current commercial lubes.
The lube must be soft to soften the soot. Bear lard is super as a softener, (hog is very similar but harder) mixed with tallow, which could be from mutton, (probably softest) beef, deer, elk, etc. Understand that lard and tallow are the names for fat which has been rendered by heat, which dries the water out of it and seperates it from the tissue which holds it in the animal. (cracklings is the old term for the hard fryings) DO NOT USE ANY FAT WITH SALT IN IT. Chicken fat, though I've never heard of it being used in bullet lube, is a super lube almost equal to bear fat, but softer, and would be very suitable for a softening agent for one of the tallows.
All animal fats turn rancid rapidly, which makes a strong smell but doesn't hurt their lubrocity. Canning as with meat, fruit etc is a good way to store, as is freezing. (Because I hate chemical vapors, having breethed far to many in my 50 years of shop experiance, I've experimented extensively with fats and oils as cutting oil in the machine shop. Bear fat is the only cutting oil I've used in my machine shop for about 10 years. Chicken fat before I got hold of bear fat.)