Re-threading dies are almost always carbon steel. Cheap tap and die sets are the same. Calling them "re-threading" is a more honest representation, probably intended to control expectations and reduce complaints when they are used to cut new threads. You may be able to cut a few new threads with them, but they definitely will not hold up to tough materials or production use.
I recently bought an old, carbon steel, metric tap & die set off CL for $15. I knew what it was when I bought it, figuring it would allow me to chase some damaged threads, maybe tap a hole or two. If I need better, I'll buy the ones I need. When it comes to SAE (inch, imperial, whatever), I buy only HSS. I've been buying assorted lots of taps and dies off eBay and have built up a pretty complete set for not much money. Just got a 3/4 pipe tap, left hand no less. Maybe I'll relist that one.