Stainless is more brittle than standard brake line and therefore it should only be flared to 37 degrees and only use a single flare. The AN fittings use a collar behind the single flare to help "support it" for lack of a better word. I have the mastercool universal hydraulic flaring tool 71450, I think is the part#? I purchased the 37 degree add on kit for stainless and it works great.
I have no idea where you are getting this information but you are incorrect. Stainless is not more "brittle" but if not properly dealt with it will work harden. The work hardening issue is the real concern and it is something that should be considered when working with it. Even cutting the stainless tubing is a bit different in order to prevent work hardening. There is no reason whatsoever preventing annealed stainless thin wall tubing from having a 45 degree double flare. It has been done for many years, you can even buy OEM replacment 45deg double flare lines pre-made from companies such as Inline Tube or Right Stuff, and is completely and totally safe. My Mastercool setup has both 45 and 37 degree components. I've done plenty of it.
That being said, -AN fittings are excellent fittings and that's what we use (including for brake lines) in aircraft. Should you prefer to use -AN, there is nothing whatsoever wrong with that. The flare and seat surface are larger and IMHO it is a better design. But "better" is not "only".
There are tens of thousands (probably far more than that) of cars having true 45 degree double flared stainless brake systems in them. The biggest problems that caused these wives tails to pop up are:
1) People using the incorrect stainless. You MUST use seamless, non-welded, annealed, thin wall stainless. You MUST. Other stainless is far more likely to split when you attempt a double (bubble) flare. An example of the correct stainless to use is:
http://www.purechoicemotorsports.co.../category_id=79/home_id=79/mode=cat/cat79.htm
2) People using a regular tubing cutter to cut stainless tubing. While there are some stainless tubing cutters that the blades reduce this risk, normal tubing cutters at a minimum will work harden the tubing and create serious issues.
3) People using the wrong flaring tool, or simply not knowing how to correctly use the tool that you have.
4) People using "coils" of stainless and trying to flare a section that has already been bent, resulting in that section becoming work hardened.