I just finished a strip-pieced quilt for Linus piecing it on paper. Usually I do a quilt as you go (piecing on batting and backing) and use a child's printed fabric for the backing and strips on the front. I've read on here that so many use the paper method but it seemed like it added a lot of extra steps. What do you think are the advantages of doing it with paper instead of quilting as you go.

I did strip blocks on paper so that I could cut them apart so they would have a half light side with strips one way and a half dark side with the strips going at right angles to the light side. You're also not limited to a single quilting design.

Personally, I don't care for the look of QAYG quilts. The paper acts as a stabilizer and you can use bias without issues. There have been lots of threads on this.

mostly the paper is used as foundation for scraps. It gives the quilter a bit more stable area to sew on. I also use muslin and used Color Catchers-but of course those are left in and not removed.

I use paper to stabilize a block. I do a lot of paper piecing: strings, log cabins,in different sizes to use up scraps. When I use paper I can just save the blocks-piles and boxes of those, and cut them to whatever size when I'm finally ready to sew them into something or other. This works well with string blocks.