So why do they call them "ballistic" missles?
. Not sure why they called it that other than it's range, but it is an unguided rocket.
The scud for instance is a guided ballistic missile
That term is usually a reference to (guided) missiles which are ground-launched, and impact on the ground (like a bullet). Air-to-Air and Surface-to-Air missiles aren't intended to impact the ground, therefore no reference to the ballistic arc. However, a surface-to-surface weapon is going to come down *somewhere* (and it really doesn't become "ballistic" until it runs out of thrust).
The steering capability only makes the weapon more accurate - it's still ballistic in nature.