I never tried fire-forming without COW or something like that, like grits. It sure is messy, especially when the sugar in the stuff gets deposited inside the barrel.
I use any old primer, pistol or rifle and determine a start charge by filling the entire case up to the mouth with a common pistol powder, weighing that charge and reducing it by 85 percent to start, then increasing the charge amount by 2 grains until I get nice sharp shoulders. A .338 Win mag case filled to the mouth will hold about 80 grains of powder depending on powder density. During one fire-forming session using COW to fire form .30-06 to .338-06 I used a slightly excessive charge that caused sticky extraction and an enlarged primer pocket. After that I became more cautious and reloaded the mess, dumping toilet paper, COW, and HP-38 on wet concrete then putting a match to the mess. It did not take much HP-38 to get excessive pressures. Should I use only powder, I would cautiously work up a load. Putting some 35 grains of HP38 into a .338 Win mag case might cause some "fire-works" even without some small weight of COW and a TP wad.
Got to admit, skipping COW would make for cleaner fire-forming. I have no doubts that it would work but determining the right power charge would be needed. Transporting open brass cases to the range would require care to not dump contents but a small wad of TP would fix that.
My guess is that even a small wad of TP would spike pressures because the inside of the case (less volume) would be where the combustion occurred vs. the entire bore including inside the brass case.
I load belted cases so they head-space on the shoulder vs. belt and fire-forming enables me to get the desired head-space without using an expensive .375 bullet.