()

There are grammar books that call these not 'modifiers' but 'adjuncts (A).'

Literal

This-kind-of thing [object-を] modifier [quotative-と] not-calling, adjunct(A) [quotative-と] calling grammar-books [also-も] exist.

修飾語 'modifier' and 付加語 'adjunct' are competing grammatical terms. ~と呼ばずに…と呼んでいる 'not calling X but calling Y' — the ずに form (literary negative continuative) contrasts the two labels. A metalinguistic observation about terminological variation.