For the first ten years or so of my blackpowder shooting I only ever used the pre-cut, pre-lubed patches like Ox-Yoke. Recently I have switched to pillow ticking. The stuff my local store caries by the yard is 0.018" thick. I washed it and dried it and it seemed to swell up a little bit to 0.020.
Of course each gun is different so the right combination for you will probably be different than what works for me, but a discussion on patches isn't complete without mentioning lube. I cut the ticking at the muzzle and use olive oil and beeswax for lube. I melt the wax and oil in jar then soak strips of the ticking and ring it out as best while it is still hot and liquid. The trick being to saturate the material but not have any excess on the surface. Like oiling a bike chain, you want the lube on the inside. These pillow ticking patches cut at the muzzle seem to load a lot smoother than then pre-cuts even though they're about the same thickness- that must be a function of my lube.
I can't really say if the pillow ticking is more accurate because I am in the process of working up a load and have nothing to compare it to for this particular rifle. Although in my production gun that I shot with pre-cuts, I could shoot groups all day long touching each other at 50 yards, so the pre-cuts couldn't have been that bad.
The idea of cutting patches at the muzzle definitely is more authentic and will draw attention from the centerfire crowd at the local gun club. However, I will say that it was a lot more convenient when I used the pre-cuts, so there is some trade off. Convenience for authenticity, and just maybe, a little better accuracy.
The reason I switched over, was that I have more control over my patch/lube combination, and I like the resourcefulness of making my own patches and lube- that's really the name of the game when it comes to the black powder sport. It's definitely cheaper this way, but it wasn't like I was spending a fortune on pre-cuts either.