The distinction is sometimes made to distinguish normal quantum
mechanics (which does not incorporate special relativity) and
quantum field theory (relativistic quantum mechanics).
Since we know special relativity is correct it is the
relativistic form of quantum mechanics which is true, but
non-relativistic quantum mechanics is still used, because it is a
good approximation at low energies and it is much simpler.
Physics students typically study regular quantum mechanics
before moving on to quantum field theory.