Yes, they are always "flared". But again I ask, who amongst us has a 3/4-10 die? I don't, and I've got a fair collection including a couple NPT and several metrics.
Regarding the grinder comments- For years I was cutting threaded rod (some of you call it "allthread") with an angle grinder, in realtion to my job. Of course, it buggers up the threads. I learned a neat trick, though. If only the last thread or two is fouled up, you do not need to hand cut the threads, and you do not need to chase them with a die. All you do is use the grinder to gently (don't overdo it) bevel the end around the circumference of the bolt- essentially eliminating the bad thread and creating a tapered edge, and the nut will spin right on. This, of course, depends on you NOT needing the last couple threads for clamping power. Ideally, you wouldn't anyway.
One other point- with the "flare" of a die, the aggressive cutting power, and a bad starting thread, it's possible to bugger the threads up even worse. If the die starts wrong, it finishes wrong. Once it's got a good "bite" it will not "adjust" to meet the existing threads.