Should board chair be the cop?

For there is nothing hidden that will not be disclosed, and nothing concealed that will not be known or brought out into the open. Luke 8:17

Quoting from the Bible seems to be de rigueur lately and far be it for me to be left behind. In the last decade of facilitating corporate governance discussions with private, public and not-for-profit boards of directors a key question often emerges: “Should the chairperson of the board come to the institution daily?”

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Note: The results are not exact but very close to the actual.