CMP.4:6 - Bias-Annotation
An early good answer can make unvisited alternatives seem irrelevant. That is a valid stopping choice when the recipient needs only a satisfactory candidate; it does not itself justify an optimum claim. Conversely, insisting on exhaustion can waste resources after further improvement no longer matters.
Bounds deserve attention to their direction and scope rather than confidence-producing names. The relevant distinction is what the bound establishes about possible completions, including the arithmetic and assumptions used to obtain it.