Hi Frank, I have had a leftover Christmas tree which is an Italian stone pine. It has been grown in a half wine barrel for several years now. I have decandled it like you would a japanese black pine and it did push a second set of mature candles - one year. The next time I did decandle there was nothing but juvenile foliage coming out everywhere, and it took 2 years before the tree began to have mature needles again.
There was an article in Bonsai Focus, I think, a couple years back, about stone pine. It was recommending cutting back every year and keeping only the juvenile type of foliage. That is not how most pines (or junipers even) are handled.
If the tree is very strong or in the ground you may get a second flush of mature growth, but not usually from a potted tree. I would treat this like a single flush pine. Good luck on your project.