Withholding a complement may open several possibilities in the hearer's mind. In one setting it can heighten esteem; in another it may suggest that the object is unworthy of naming; elsewhere it may indicate that words fall short of describing it.
These effects do not follow from grammar alone. “I saw” may be perfectly clear about a known person in one context, while creating wonder in another. Rhetorical interpretation requires the situation, addressee, prior discourse, and intended benefit.
The effects should be understood as alternative possibilities, not an obligatory bundle applied to every case of object deletion.