Using the turnover ball is the same for the 2016 as it was for the 2014. You could remove the turnover setup and install it in the new truck or buy another one. The RVK3405 requires the turnover ball from B&W and will not work with the RAM gooseneck hitch.
I choose to go with the RAM pucks, a Demco 6099 picture frame and a RVK3270 slider. I do not like the idea of the truck bed carrying the weight of the trailer. You could call B&W and ask how much it would cost to convert your existing hitch to a RVK3270. Over half of your parts are the same as the RVK3270, however you would need a picture frame. You might ask B&W if they are working on a Ram puck base for their slider. I would convert mine maybe and sell the picture frame.
However if you are happy with the one you have then install the turnover ball and trailer on!
