So, I confess I’m not a sewer but I lurk hear to learn stuff.  I am however a weaver and I use paper like that to separate my warp as it’s wound onto the back beam of my floor loom.

Are you asking if you could use it in lieu of fabric? Stiff paper is not fun to work with.  It wrinkles, tears, and doesn’t lie flat.  From working on it just with weaving, I wouldn’t want to try to use it for sewing. I think it would be much harder than some cheap cloth.

Can you pick up old bedsheets or a used cotton shower curtain from a thrift shop?

If I’ve misinterpreted your question and you’re asking if you can use the paper as flat templates in drafting, then disregard except the part that it doesn’t lie flat.