Mykeal, up until today, all the pillow ticking I'd ever looked at was about .015. They even had one roll of ticking that measured about .005.
I don't shoot a lot of .535 caliber and so I usually just buy the Speer brand shot. I recently came across one of my old .535 Dixie Gun Works moulds that I bought back in the 70's. When the cast shot proved to be a little tight I put a mic on them and they measured exactly .535. So I measured the Speer shot and although it is marked as .535, it measured .530. That put me in search of a thinner patching than I was using with the Speer ammo.
The best shooting I ever did was using the "Dutch Schoultz dry patch" system. It was much like you described. I'd soak my patches in a solution of water and a water soluble oil, then I let the patches dry. However, I had to swab between shots. Is that what you're doing?