A working distinction: absolute versus universal

Verb Complements: When the Object Is Not Mentioned

TermWhat it conveysWhat it does not require
NonrestrictionNo particular object specifiedAn affirmation of every possible object
UniversalityInclusion across a relevant domainExtension to unrelated domains
Focus on the actionThe verb's characteristic is centralOne recoverable particular object
Object ellipsisA contextually recoverable objectThat the object has ceased to matter

Confusing these categories would conflate grammatical form, logical scope, and rhetorical purpose.