A couple of thoughts on annealing:
First of all, it has been my experience that some powder bullet combinations "like" more neck tension than a dead soft neck can provide. I do not say that this is true in all cases, but I believe that it is in some.
Secondly, on the Hornady kit or socket approach, if one can come up with a way to make the position of the flame relative to the case constant, with some sort of positioning fixture, and use some sort of audible counter, I believe that better results can be obtained. Taking my advice on the latter, a friend picked up a cheap, battery powered metronome, to give an audible count. After several hundred rounds he is able to watch the color progression down the neck, but in the beginning hearing the seconds tick of was a great help.
On setup, if you have a way to accurately control time and distance from a particular flame setup, you can use an old case and templaq to verify your time every time you light the torch. We used thin stripes from the point of the shoulder to the head of 300, 400, and 500 degree to get an idea of what was going on when we first set up another friend's two torch machine, (one that pauses the case in the flame), and after that, used the 500 degree, and set the time so that it was melted about a half inch below the shoulder (on magnum cases). Different torch setups would have differences in this so proceed carefully. Our melt went down to where the color line is on Lapua brass.
The reason that the fellow with the machine anneals is more about getting consistent shoulder bump, and keeping a relatively normal seating force. We found that with Winchester 7mm WSM brass, that had not been fired much, and Lapua .338 Lapua brass, that there was an undesirable variation in bump at the same die setting, and after our annealing (or possibly what some would call stress relieving) our variation was reduced to +- .0005.
Ultimately, I believe that if one has the budget, that a machine is the way to go. but if not, with some additional pieces that very good results can be had without one. My friend who uses the Hornady kit, reports much more uniform bullet seating feel, and much more consistent accuracy with his .223 and .22-250 varmint rifles. He is a picky reloader, and an excellent shot, who uses wind flags all the time when evaluating loads.