As said by other posts before, that is completely irrelevant in executive level. No one would or should care about your documentation at that point, as it might be for rank-and-file workers.
Get convinced of the CEO strategy and execute it, or stay convinced, convince the board and do your way - and in either case, take responsibility for whatever happens to the company in the whole, there is no such thing as "your separate area" or "only your direct actions/subordinates" at that level.
Better would be to make sure that you have good documentation of the event in the case of the shit hitting the fan.