  We construct a family of graded isomorphisms between certain subquotients of
diagrammatic Cherednik algebras as the quantum characteristic, multicharge,
level, degree, and weighting are allowed to vary; this provides new structural
information even in the case of the classical q-Schur algebra. This also allows
us to prove some of the first results concerning the (graded) decomposition
numbers of these algebras over fields of arbitrary characteristic.
