Have done this for for most of a half century... The best paper is Brown Paper bags (Grocery sacks) It is thick and slick on both sides yet absorbs the glue evenly, (the hot rolling of the press in the manufacturing process creates a two ply effect so it seperates easily) Simply apply any glue to the sacrifice piece smooth on a layer of paper, apply another layer of glue to the work piece and sandwich them together, clamping overnight (glueup takes a little longer than traditional laminations as the paper absorbs so much moisture, so don't expect to turn the same day. or it may fly off)
Make your turning and then when finished, tale a sharp wide chisel, using the flat side against the work piece, a few taps will start the paper to seperate into two sheets, One on the scrap and one on the work. This will require sanding off the glue and paper residue from the bottom of the piece, If you have a chuck for bottom finishing, then clean up as usual.
If you use a white glue to secure the paper then some work with vinigar water will soften the paper and glue for a slimy release.
This has beeen the staple of school shop projects for many a year, although some dislike it because of the overnight wait or the bottom finishing but it is a way that you can chuck up or faceplate a small piece where cutting a talon or glueing directly to the faceplate limits your possibilities.
Just like all the other mounting methods are not the sole, only, or exclusive method of attaching a work piece, it is a simple alternative to keep in you store of solutions.
As for Spindle Split turning, There is no better method to secure small segments, And they seperate so easily.
Again the secret is a slick faced paper like grocery sacks and package wraping paper, and White glue for easier cleanup with warm vineger water.