  We provide a fresh perspective on the problem of characterizing the DoF
region of the $K$-user MISO BC with arbitrary levels of partial CSIT. In a
previous achievability proof, Piovano and Clerckx characterized all faces
describing a polyhedral outer bound region, and then with the aid of
mathematical induction, prescribed a scheme based on rate-splitting with
flexible assignment of common DoF and power levels to achieve each such face.
We propose an alternative approach in which we deal directly with the region
achievable through rate-splitting and employ a Fourier-Motzkin procedure to
eliminate all auxiliary variables, hence reducing the achievable region to the
known outer bound. A key insight emerging from our proof is that tuning only
one power variable, as well as assigning the common DoF, is sufficient to
achieve the entire DoF region, as opposed to $K$ power variables previously
employed.
