Answer
This statement is false.
Work Step by Step
The volume of $NaOH$ needed to reach the equivalence point is not affected by the strength of the acid. Because sodium hydroxide already is a strong electrolyte.
The only thing that affects the equivalence point in that case is the number of moles of the acid, but, since both glasses have 25ml and 1.0M as concentration, the necessary volume of $NaOH$ is the same.