The "dreaded orange peel?" lol
It's my understanding (and people can correct me here if I'm wrong) that orange peel happens when you polish a gem that has different hardness minerals in it. The softer mineral undercuts slightly and causes the surface to resemble the skin of an orange. For example:


This is a cabochon of chrysocolla in quartz from Peru. It contains hard agate at 7 MOHs and particles of chrysocolla which are much softer at 4-5 MOHs. So when you polish it you get the surface seen in the photos. It's not even noticeable IMO so not a real problem in most cases.
As for jades I've never really seen this issue but maybe there are some jades that do orange peel if they contain minerals of different hardnesses.
Jade is no real problem as far as cutting and polishing. Use the same grits from coarser to finer until you get an even prepolish. Then I polish on soft leather with Tin Oxide, Linde A or Pro-polish.