but don't you think you could have achieved all of that without the freezer paper, you're only using it as a guide for your seam line. if you can sew a straight 1/4 inch seams you could have done the same thing.
i've never pin fabric when sewing, paper piece or otherwise.
if you're following the method i know you don't sew thru the freezer paper at all nor does the sew section stay attached to the paper.
so its providing zero support in the block - so anything that you can do by that method you can do without it just use a 1/4 foot on your machine to achieve accurate straight seams.