Logical and most efficient approach would be as you describe I agree but haven't supporters spent the last nine plus years telling us that Kate was traumatised and not thinking either logically or rationally? You really can't have it both ways.
She is an intelligent woman.
She is also a trained medic.
In my opinion immediately she had ascertained Madeleine was not to be found in the apartment her immediate instinct would be to get to Madeleine's father and to get assistance.
Are you suggesting that in the circumstances of believing someone had entered the apartment via the window and kidnapped her elder daughter that she was not traumatised, distraught and beside herself with grief and hysteria?
She got almost immediate assistance ~ logically and efficiently ~ which fitted exactly with her instinct and training whether she was at the time thinking rationally or not.
The priority was to get assistance to search for Madeleine and that is exactly what she did whether on auto pilot or as a rational thought process is neither here nor there. Her panic and distress cannot be estimated or underestimated or known to any who have not been in a similar situation but neither is that here nor there.
She did what she had to do ... she raised the alarm and started the search process ... so I am afraid you are very wrong ... I do have it both ways.
In my opinion you seem unable to see the wood for the trees. Perhaps it is your understanding of the logic and capability of actions taken while suffering extreme trauma that might be missing something.
