Just a little added information. I have both an Annealeez and Bench-Source machines. I would say that the annealeez is relatively small, easy to store, and can automatically feed quite a few cases but I would not walk away and let it do its thing since it does have an open flame. I screwed a drawer handle to the top and this makes for easy transport. The major downside of the annealeez is the torch holder. This is just a pain in the butt as it is always coming loose and the gas hose makes it somewhat difficult to position and maintain the position. You can tighten the screws 'till the cows come home and it still works its way loose which requires a close eye to maintain the torch position. I fixed this by buying an extra bench-source torch holder and now it is solid, easy to position, and repeatable in its positioning for different calibers (6.5, 308, 338). In short, aside from the torch arm, the annealeez is an excellent way of annealing cases with a propane torch and does a great job for feeding a large batch of cases.
The bench-source is just an outstanding machine. Built like a tank, precise, well finished, very adjustable and customer support is tremendous. It just works. Of course, it is two as opposed to one torch but this just means the annealing time is a little shorter than the annealeez. It is less portable than the annealeez and does have the relative inconvenience of two propane bottles. Of course, you could only run a single torch if desired or do what many have done including me and use a hose splitter for a single tank operation. The comparative downside, of course, is that you have to hand feed the cases into the rotating wheel and it is less portable.
I have used both and like both machines/methods. They are both accurate in terms of timer, easily positionable torches, repeatable results, and gets the job done. The bench-source has a different look, finish, and "feel". I don't think you can go wrong with either and it comes down to personal preference the amount of money you want to spend. I like them both and use them both.
dan