I too own and shoot a Pedersoli Tryon. I use it in monthly matches. I’m a pretty consistent monthly winner with it. First place for the entire year out of our entire club. I load it as described above with spit patch, no wiping, 80 grains of 2F with a .020 patch. Never tried a conical in it. What you’re asking about with the wad and running a wet patch down prior to loading a conical is fine and safe. If your conical is a hollow bade, the wad can lodge in the base when firing and cause erratic groups. A flat base is fine. The type of lube on your conical is just as important as the size of it relevant to your bore size. Conicals are too much of a pain in my opinion. I don’t even fool with minies in my civil war rifles because they are one hole rifles with roundballs. I’ve wasted lord knows how many pounds of lead fooling with conicals. I’ve bought and sold a dozen molds over the years trying to find one that works. My Tryon the 54 with the slow twist. I’ll just stick with my roundballs that shoot ragged holes in my rifle. Good luck!! Here is my rifle.