Funny you should mention pigment stain, as I noticed a few key differences b/t the baryta and normal fixed out photo paper.

1. Baryta doesn't seem to stain from the dichromate as badly as fixed out paper.
2. The pigment imparts a weak "base" stain around the safe edge of the image. Attempting to remove said stain resulted in removal of the barium sulfate layer, revealing a much flatter paper surface.
3. The gloss of the paper works well with gelatin mixes that have a matte black finish as opposed to a glossy finish. I always try to incorporate this balance as it highlights the relief in the final print.