The only "problem" I've had with the LCT is that I want a tool head and dedicated powder dispenser for each type of ammo I load on it. That stuff has been hard to find and is not as easy to store while not reloading as a box of dies.
For the Lee Classic Turret. It runs as a single stage for learning, but you don't have to remove the dies, just spin the turret. Then you end up with all the dies setup on the turret, you put the auto-indexer in and start cranking them out in no time. If you are working a difficult load, pull out the auto-indexer, and go back to single stage.