[ethn]

"Plato's influence on Western culture was so profound that several different concepts are linked by being called "Platonic" or Platonist, for accepting some assumptions of Platonism, but which do not imply acceptance of that philosophy as a whole."

Does not support that the "Platonic" is Platonic Realism, which is what your chief claim is and what it would implicate if the term conveyed acceptance of the entire philosophy. It merely means the acceptance of an ontology of abstractions—which is implicit when there is discussion of it, otherwise how would it be discussed?

Even if you believe Platonic Idealism and Realism are the same (which is usually meant to designate the classification between 'soft' and 'hard' Platonism), there are even different Platonic periods.

Nonetheless, it's clear that I didn't communicate this well if I'm in this conversation. Which I don't think is irrational since my discussions are usually restricted to academic contexts where this usage is ostensibly vernacular.