PMSM Rotor Design. Are these terms equivalent?
You are correct !

Burried magnet change the permitivity distribution inside the rotor. Thus depending on the arrangement of the magnets, asymetrising its direct and quadratic inductances.

Look at this post: Explanation of Lq, Ld and how it relates to motor inductance

And this paper (if you can): https://doi.org/10.1109/emobility.2010.5668074