Crowsfoot wrenches are open end wrenches that fit on an extension and give you another angle of attack. Line wrenches or as you state, flare nut wrenches are beefed up boxed wrenches that have a slot cut so you don't have to leave them hanging on each line in your car. They are different than open end and crowsfoot wrenches in the amount of metal around them and this is to stop them from spreading which would tear the shoulders on most brass fittings. So they do a special job well, tighten line fittings so no leaks occur without stripping the shoulders off of the soft nuts.