I've had the Giraud for 10 or more years; it's a PITA to set up and change between calibers but once you get it set up it's on autopilot. I use Tempilaq just to check before large batches where a mistake will be multiplied. I do have it hooked to a bulk propane tank with a regulator, so I can record the PSI I'm using for each case (usually between 12 and 20 PSI) and get a consistent flame between and within sessions, and if I measure the inner flame distance to the neck as Giraud suggests and the dwell time, I can record those numbers and repeat them the next time around, then check with Tempilaq and rock and roll. I let the flame warm up while I'm loading the hopper (because it shrinks after the torch heats up).
I've had the AMP for about 3-4 years and I now use it for everything larger than 308 (for me that's 7mm Rem mag, 338 LM, 375 CT and 50 BMG). For smaller batches of the bigger stuff, it's not worth the time setting up the Giraud, and doing so requires so much movement of the parts. For 223 and 308 I barely have to adjust anything but the plates.
However I still use the Giraud for bulk (like several hundred) 223, 260 and 308 because after I get it set up it just does its thing and I do something else for the hour or so it takes to do several hundred. I recently did ~200 260 cases with the AMP and thought I was going to be bored to death with the tedium of that. I can't imagine doing a batch of 500 223 or 308 cases on the AMP. Mind-numbing boredom. Thus, I just can't stomach the thought of giving up the Giraud. If I had to do it again, I'd probably do the Annealeez and save my $$$ for the AMP. I'd try to make a bigger hopper for the Annealeez. That TDP one looks cool too but looks like a giant pain to set up too.
other than the blue tank 
