Isn't Chairman pretty much a figurehead position anyway? I mean really, whether Bryant has deep discussions with Management, Marketing or Engineering about what's going on at Intel, or whether he just goes and plays golf, does it really make any difference?
Chairman, typically are non-executive company officers, so I do not see a major problem.
They do not dictate the technical path to follow.
However, a replacement of the CEO, that would be a more consequential move.
However placing an internal officer in the board may be a positive effect in the troops, since as a CEO effectiveness reviewer, there is some insight of his past performance.