The main benefit of HSS over CS is that it retains its edge almost up to red-heat. Thus HSS makes it possible to cut metal fast hot with a powerful machine. You can get equally good results out of CS by keeping it cool, and it's especially good for hand tools. But another advantage of HSS is that it's tougher – less brittle – than Carbon Steel, and should last longer in a busy workshop.
As you've found not all steels are equal. I've found very cheap taps and dies work well on soft metals like aluminium or dead mild steel. When sharp they do OK on brass, but they are easily blunted by mild steel or indeed any hint of heavy work. They tend to snap like carrots if you don't cut absolutely straight.
With one exception, I've had reasonable service out of moderately priced rather than very cheap sets. My requirements being genteel, I mostly use CS taps and dies, buying replacements from Tracy Tool's inexpensive range. Probably HSS isn't worth the extra cost for me because I don't do much threading and I avoid work hardening metals like bronze, stainless steel and unknown scrap. I usually make sure rods are a shade below theoretical diameter, and drill tapping holes slightly too big: this reduces the strain on taps and dies considerably without making threads significantly weaker.
Not been disappointed with anything from Tracy Tools, but there's a reason high-end taps and dies are eye-wateringly expensive.
Are you the type who likes tools to last forever? I tend to see them as disposable, which isn't to everyone's taste!
Dave