I have paper patched some Lee C501-440-RF using Strathmore brand tracing paper. The paper has a hard smooth finish and measures .002" thick, about half the thickness of computer printer paper. I ran the cast bullets through a Lee .501" push through sizing die, then patched, then ran the patched bullets through the same sizing die - was for my .50 muzzle loader. Needed a "slip fit" to get it down the bore - no gas check - am relying on the pure lead to "bump up" and engrave rifling on the trip up the bore.
I just measured some "masking tape". What I have measures .005, including the glue. I really doubt that masking tape with glue can be put through a sizer without ripping? Please let us know how you make out. With paper patch, you do not normally lube at all, as in running through a lubesizer. Instructions I learned from used very light coat of Rooster Patch lube on outside of patch after loading, for waterproofing purposes only. On Castboolits site, not a ton of consensus - some seem to want patch to let go once bullet leaves muzzle, like a sabot, others apply thin layer of various oils or waxes to patch paper to ease rolling on to the bullet. Others do like I have done - dry, relying on the tail twist to hold it together. I do drop a fibre "bore button" on top of the powder charge, under the bullet, in the muzzle loader.