It’s possible to do this subsets of stuff, but rewriting QM in a better way is at least as difficult as rewriting the linear algebra of hermitian operators in a way that is easily palatable.

While QM is somewhat of a new development, linear algebra has been around for nearly 150+ years in its roughly modern form (and far longer in less general forms, since around the classical Islamic empire). It is possible we now have better abstractions, but this is also generally unclear.