Dictionary
Words, grammatical forms and meanings linked to the ontology.
designatum en · NOUN
Meanings
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That which is named or designated by a linguistic term.
I am inclined to hold that if there is a plurality of objects that fall under the designatum of a term, then that should be sufficient (though not necessary) to conclude that that is a general term, even when it has a singular occurrence in a sentence.
2007, Ilhan Inan, “Rigid general terms and essential predicates”, in Philosophical Studies, volume 140, number 2, page 225:
Forms
Synonyms
referent