Answer
I say, and with God's help: It is proper not to speak during ablution with the words of people, except for the supplications that are recited when washing each part; this is because ablution is similar to prayer. See: Tabyin al-Haqaiq 1: 6-7, Majma' al-Anhar 1: 16, and Bada'i' al-Sanai' 1: 23-24, and God knows best.