Hard drawn copper is all copper, it’s just in a more “raw” form. The wire we are used to using is “annealed” meaning they take hard drawn copper and work it with heat to make it softer and less stiff. The exchange is that annealed copper wire has 97% of the conductivity of hard drawn copper, but almost half the tensile strength, which relates to its ability to flex and bend. People that make copper wire sculptures use hard drawn copper (when they can get it) because it’s less susceptible to the form getting altered by something bumping into it (a friend was an artist who made copper wire sculptures).
Annealed copper wire does not stiffen with age. So most likely what you have encountered is someone having used hard drawn copper wire for something, I’d guess because they had it at hand that day. Other than the stiffness (and slightly higher cost because of lower demand), there is no reason it can’t be used.
If you suspect copper clad steel, touch it with a magnet. Copper is not magnetic but if there is a steel core, it will be attracted to the magnet right through the copper cladding.