Is it true that one of the four Imams used to recite the entire Qur’an more than four times daily?

It has not been reported that any of the four Imams completed the entire Quran four times a day. The most that has been reported is that Al-Shafi'i (may Allah have mercy on him) used to complete the Quran once every day and night. As for what was narrated from Ibn Al-Katib, he used to complete it eight times a day and night.