I have somewhat limited experience so far, but will share what I have learned. Between the LC and FC, I find that most of the FC are shorter than the trim-to length while the LC almost always needs trimming. I think that having a consistent trim length will make the neck tension more consistent. LC is always crimped since it is all NATO brass (at least all that I have seen). Having to remove the crimp is a pain, but if the brass is crimped (and has not had the crimp already removed) you can be sure that the brass is only once-fired.
I have always worked up my precision loads in 5.56 using LC brass, as I have heard that it is good quality for once-fired brass. I don't know if the FC or TAA would be as accurate as I have never made a direct comparison. For plinking ammo, though, I will use FC, TAA, PMC, WCC, etc.