I love my LCT. LOVE it. However, I size .30-06, .308, and .223 on an old Bair single stage. Sizing with my Lee full-length sizing dies puts a LOT of pressure on the press and takes a lot of effort (military brass, full length sizing for semi-autos, and imperial sizing wax for those interested). I supposed it may accelerate wear or "stretching" of the press to a small extent. However...
The main reason I use the single stage to size is that it "cams over" (AFTER the die hits bottom-out) and I can get the extra shoulder bump that my combination of dies, brass, and chambers needs to size brass to properly fit in my wilson case gauges. The LCT doesnt' cam over so my primitive caveman brain says that the single stage will be more consistent. I don't really know if this is true, and actually I don't get super-consistent sizing in .30-06 with either setup. Whatever I do, about 3/4 of the brass will size to the "low shelf" on the gauge recommended by Garand guys, and about 1/4 wont, and needs another trip through or simply won't size to that tolerance. I cull those for my 1903s, though they apparently have tighter chambers than my garands. I'm still figuring it all out.
That said, I have sized quite a few on the LCT during my initial trials and it seemed to work fine. I'd have no problem neck sizing on the LCT. I do use it for decapping (universal die) because it's such a slick system to deal with spent primers.
I use the LCT to prime also, and I've had good success with the safety prime system.
I use the LCT to charge/seat in .223 and .308 (.308 requires the double-disc kit and use of the 2 largest or largest-and-next-to-largest orifices), and to seat in .30-06.