For anyone who believes Abu Hurairah was blessed by God in some way and is reliable, please read this from Sheikh Abdulfattah Abu Abdullah Adebalu (a Sunni sheikh from Nigeria).
”During the caliphate of Umar Ibn Al-Khattaab, he made him governor of Bahrain. Umar, as we know, used to call his rulers sternly to account. If he made one of them governor when he had two garments, on the day he ceased to govern, he should still own no more than those two garments, and it would be better to leave office with only one! But if he left Office with any display of wealth, he would not escape Umar's reckoning, even if the source of his fortune was halaal. It was another world that Umar filled with wonders and miracles.
When Abu Hurairah was made governor of Bahrain, he saved some money from halaal sources. However, Umar knew and invited him to Al-Madinah.
Let Abu Hurairah narrate the quick conversation that took place between them: Umar said to me, "O the enemy of Allah and His Book, did you steal the money of Allah?" I said, "I am not the enemy of Allah or His Book. I am the enemy of their enemy. Besides, I am not the one who steals the money of Allah!" He said, "Then how did you gather 10,000?" I said, "I had a horse that had foaled repeatedly." Umar said, "Put it (the money) in the Bait Al-Maal (the treasury)."
Abu Hurairah gave the money to Umar and raised his hands towards the sky saying, "O Allah, forgive the Commander of the Faithful." After a while Umar called Abu Hurairah and offered him the governorship again. However, he refused and apologized. Umar asked why. Abu Hurairah said, "So that my honor would not be at stake, my money would not be taken, and my back would not be beaten." He added, "I'm afraid I would judge without knowledge or speak without patience."
What's the famous idea again? If you have nothing to hide them you should have nothing to worry about. Seemed Abu Hurairah had something to worry about hence not choosing to be put back in office.