@tntype If you mean a hand-casting mound, then yes, sort of. How the matrix is justified plays a role, too though.
But in many typecasting machines, the answer is definitely no. There, it is the casting person who defines the body, by adjusting the machine until the sorts it casts match a reference sort. No the machine itself, or the matrix.

@tntype Moulds were built to be size specific. The width of the sort to be cast was determined by the build of the mould and the width of the body of the matrix itself (not the impression strikes into it).

@tntype I am not sure if two molds from separate places would have cast identical results based on the same matrix. Though I am quite intrigued by the question.

@tntype But more often, type from say … Garamond would have looked different in each foundry casting it, because each foundry would presumably justified his strikes differently. So the moulds would be different but so would the matrices, even though all the cast sorts came from the same punch.

@typeoff I would have thought matrices were rather traded than strikes, no?

@tntype I think it depends on the period but, generally, I assume that every founder already had size-specific moulds. So they would have likely bout strikes from punchcutters/other founders, allowing them to justify the strikes into matrices that would fit into their moulds. Strikes are just unfinished matrices.

@typeoff my scenario is early twentieth century, Egyptian printer providing type to Indian printer – I only have imprints to go by, no records, no material, no discussion