Yeah, that other thread is probably the better place for this discussion. However, let me address your question re the CCMT vs TCMT question. There is absolutely nothing wrong with the TCMT inserts. They are common, cheap and easy to find and they work. Heck, I own a set of tools from way back that uses them so I know they work well. And yes, you get three usable tips.
The key difference between the triangular and diamond inserts is in the geometry of the tool holder. The SCLCX tool holder has a 5 degree clearance angle at the front and top edges. This allows a single tool to both face and turn, whereas you need several tools to do this with a triangular insert. This geometry also allows the end cutting edge of the diamond shaped insert to participate in the cut and this affects the finish that geometry produces. A triangular insert cuts only with one cutting edge so they do not finish as well unless you use a big nose radius. For me, that bigger nose radius requires much deeper finishing cuts or it chatters. A CCMT/CCGT insert produces a better finish with a smaller nose radius and takes a much finer finishing cut.
To summarize, both work but the more modern geometry does it better with fewer tool holders and insert nose radii required. In a hobby shop, a good insert lasts for a long time. The fact that I have only two tips vs three is of no concern to me.