In situations where I have seen that in the past, the person was caught in grievously bad, unambiguous case of sexual harassment, racism or something equally socially despised.
If this is not the case, Intel's PR people are doing a serious disservice to Keller in the way the announcement has been structured.
Generally if a higher level executive resigns due to actual "personal reasons" or a family tragedy, and it's an amicable departure, it's announced with at least a few weeks notice.