Hi Nick,
Dunno about the Neo or the den honey. But a rest - cool period for your kingianum should bring on blooms. I would still spray down the leaves and canes somewhat to avoid any mites.
Your phals and paphs dont need any kinda of rest period, although you will probably find some slow down in growth, so just less watering during the colder months. Water when they begin to dry.
Edit : - Opps forgot the fertilizer - You can just continue on with the feeds as needed, not for you king den, A rest period of 6 to 12 weeks should do it. (you decide)