I don't think the author needed to bring "false accusation" into the picture here, and in fact it weakens the point. I think male investor saying to a female CEO that her male colleague is better suited to the CEO role would be taken, ipso facto, as sexism. No falsehoods need enter the picture.
>>cbduma+(OP)
But in this case it would be a false accusation. That's kind of the entire point - he's afraid to give honest feedback out of fear of a false accusation.