Different animals, a self centering scroll set-tru (set true) type is used to get the scroll jaws centered, not to center the stock. Once you adjust a set-tru chuck you do not readjust for each work piece. The typical TIR spec. is that they will repeat to 0.0004", but depends on the chuck manufacturer and size of the chuck. A standard scroll chuck the typical spec. is around 0.002". Scroll chucks are much quicker to get stock in and out, then an independent. An independent is more often used if you need to zero out the TIR, turning rough/irregular stock, you need to align the bore/hole in stock, or just dealing with square stock or a rectangular piece. I use a PBA 3J scroll Setrite chuck when I am doing multiple ops on the same piece and it may be in/out of the chuck 8-10X. When dialed in it repeats with a high level of repeatability. This also applies to my Bison 5C Set-Tru chuck. I use a 4J independent chuck for rough stock/ turning resulting in a lot of chips/swarf as it is easier to dissemble to clean, also for off center holes.
Your lathe comes with a Taiwanese 3J scroll (not set-tru) and a 4J independent so you may want to see if you can sell some of your older chucks. D1-6 back plates for mainstream chucks manufacturers can be expensive. A number of vendors sell extra thick semi-finished back plates than can de turned down into a configuration for a particular chuck. I have also used Gator back plates which seem to be a bit less then Bison/TMX brands. A 4J independent would use a standard back plate which is less expensive then a set-tru type..