Excellent information. Except the mugo,and Scots pine are 2 needle pines.
I think the reference is to the mountain origin, in that Mugo and Scotts are single flush, just as JWP. I personally have to think of 5 needle pine culture has to be 'cataloged' in my brain as different than 2 needle, particularly timing issues. But pines from mountainous areas do share some common growth traits, particularly resulting from being single flush of growth per year.
So really you have different calendars and techniques for
2 needle - 2 flushes of growth - lower elevation pines in areas with long growing seasons. Usually very dependable 2nd flush. Note: JBP in cold, shorter season climates has years where it behaves more like a single flush pine, at least for me in zone 5. Got to plan for that if you are near the north limits. My local issue is that spring at my place, is often long and cool, JBP doesn't get enough heat to wake up early enough some years.
2 needle - intermediate between 2 flushes and single flush (JRP) - behavior often determined by length of growing season.
2 needle - mountain origin pines, single flush - mugo, scotts - likely jack pine too - growing season length does not seem to change this.
5 needle - mountain origin pines - single flush - JWP, flexilis, strobiliformis, etc - length of growing season doesn't seem to change this.
eastern white pine P. strobus - is more or less in the 5 needle category, but it has some quirks and good management hasn't been fully worked out and documented, yet. Perhaps in the future someone will publish something. Some asexually propagated cultivars of P. strobus will have a second flush of growth in a mild, not too hot, not too cold climate, but not typical of seed origin clones and not in most climates.