  The main objects under study are quotients of multiplier algebras of certain
complete Nevanlinna--Pick spaces, examples of which include the Drury--Arveson
space on the ball and the Dirichlet space on the disc. We are particularly
interested in the non-commutative Choquet boundaries for these quotients.
Arveson's notion of hyperrigidity is shown to be detectable through the
essential normality of some natural multiplication operators, thus extending
previously known results on the Arveson--Douglas conjecture. We also highlight
how the non-commutative Choquet boundaries of these quotients are intertwined
with their Gelfand transforms being completely isometric. Finally, we isolate
analytic and topological conditions on the so-called supports of the underlying
ideals that clarify the nature of the non-commutative Choquet boundaries.
