I'm familiar with flare nut wrenches - I have several.
The difference is that a box wrench will have NO give to it, unlike a flare nut wrench, which has the open side. No matter how tough the steel is, it will still have a little "give" to it (lookup "elatic deformation of metals") and there's not a damn thing you can do about it.
Like I said, I've got several flare nut wrenches, in sizes from 1/4" to about 2". Still, I will ONLY use a six-point box wrench on a bleed screw, just because nearly anything else can strip them or round them off. I've been able to use a 12-point where I can't get "swing space" to use the six, but given a choice, I will always use the six.
The bleed nipples are softer than you think - I've rounded them off with open ends, with flare nut wrenches, and even with 12-point wrenches when I'm stuck. A six-point, box end wrench is the ONLY thing I've had consistently good luck with.
Just sharing the benefits of my experience...
5-90