well thanks to Jeephammer I now know more about induction than I ever wanted to know. I won't even attempt to try and make this a coherent post before my first cup of coffee so I will just list some bullet points
The Amp machine was designed specially for annealing cartridge brass. In their initial development they used thermal imaging camera but switched to Vicker's hardness testing. The machine was designed by a father and son team. The father was in the firearms industry and the son is a engineer and both are shooters and reloaders.
https://www.ampannealing.com/about/
Although the website for Fluxeon says the Annie was designed for reloading the first two generations of the machine were designed for neon sign construction and a you can still buy a hand held wand type coil for the Annie for doing just that.
http://fluxeon.com/heaters.html
Placement of the case in the coil and as well as the type of coil does make a difference. Of the coils available for the Annie I would prefer the split ferrite flux concentrator. The helical coil would spread the heat over too large a area for me to be comfortable with. In gas heating terms the helical coil would be a "rosebud" tip on the torch while a flux concentrator does just what it's name implies and concentrates the heat into a smaller area
https://www.youtube.com/watch?v=KXMyx4bXUxk&ytbChannel=Fluxtrol
temperatures can also be modulated by the frequency and higher frequencies are better for rapid heating of small parts. From a laymans point of view I would guess that a frequency of 100 - 450 kHz would be used for cartridge brass since at .016 thickness little depth penetration is needed. Certainly less penetration would be needed than say if the machine was to be used to bend meta rods or glass tubes
http://www.brighthubengineering.com/hvac/95097-frequency-and-induction-heating/
All in all after doing a lot of reading I do have to agree that induction is really the ultimate way to for precise controllable heat source. However that would only be true for a machine that is designed, set up and calibrated for that purpose. Otherwise you simply have a very expensive invisible heat source. To anneal a case by holding it neck down inside a induction coil designed to heat metal or glass tubes or rods would be no more precise than using a plumbers torch. Less precise actually since with a plumber torch you can see where the heat is being concentrated and with a induction you would need to either use a thermal imaging camera or do hardness tests to insure that you are heating the parts of the case you want to heat and not heating the parts you do not want to
I can see a Amp annealing machine ending up on workbench before the end of the summer. First I will have to do a bit more testing using but if it suggests that annealing after every load lowers SD's and hopefully group sizes by giving me a more uniform neck tension I will drop the money into one. While the AMP would not be useful for someone who is doing 400 cases or more a week the shooter who shoots an average of 50 - 100 loads per week it seems to be ideal annealer. It was designed by reloaders for reloading and from everything I have can see it looks like they did a excellent job
For those who are already own a induction coil machine you can make a magnetic line viewer with some mineral oil, iron shavings and a clear container. It might or might not be useful to focus the energy where you want it.
https://www.youtube.com/watch?v=VkSQX5VpYpQ&ytbChannel=Kevin Gittemeier
A $5000 to $35000 thermal imaging camera being or a lab quality hardness tester being ideal for testing and calibration but is out of the question at the hobby level money wise. Otherwise you are just guessing at where the hat is being concentrated and have less precision than you obtain with a 15 dollar plumbers torch. Not trying to burst anyone bubble here but for me that is the only obvious conclusion.
This are just my opinions and I am no engineer so anyone contemplating purchasing a induction machine should do some due diligence and think long and hard before plunking down 500 - 1000 dollars for either a Annie or a AMP.
I am still unsure whether lower SD's will reduce my group sizes and help eliminate flyers at my level of shooting skill. If I were a national level BR or F class shooter I would have a AMP being shipped to me as I type this. As a amateur who shoots high 180's /low 190s strings I am not convinced at this time that it would be worth the money for me. In a month or two I hope to have some empirical evidence with which to make my decision but for now I need to finish my DIY auto system and do a bit of testing before writing the check.