I don't use the Lee system anymore except for pistol brass (when it needs it).
I switched to the Wilson trimmer for rifle brass. I use the hand crank, but they offer a power adapter for it. Sinclair had really sweet accessories for it, including a micrometer adjustment, and while they are very nice, they are also not at all necessary for easy, accurate trimming.
It is incredibly accurate, square and consistent. It does not need pilots, and does not use a collet to grip the case head/rim. It uses a taper-bored cylinder to grip the tapered case body. Unlike other tools, the case holder simply keeps it centered and square to the cutter, and an adjustable stop for the case head sets the trim length, immune to variations in rim thickness.
In spite of the quality of the unit and its results, it is pretty inexpensive, ~$40 for the base trimmer, and ~$8 for a case holder. Each holder fits an entire family of cartridges that share the same case body (e.g. 308/243/7mm-08 or 270/280/30-06, etc.).
Regarding the comments about inserting the pilot into the neck prior to tightening the collet on the case head, that is true of any trimmer that grips the case head and uses a neck pilot.
Andy