I'm afraid, as usual, you are reading far too much in to what I have posted. Is it really not possible for you to post a reasoned rebuttal instead of the unnecessary insults that seem to pepper your posts more and more often of late?
It is impossible to fully rebut why someone didn't act the way YOU think they ought to have, but I have very successfully shown you why I think your argument is flawed, pointless and just another stick you're using to beat up the mother of a missing child, albeit a rather weak stick. Now, you carry on arguing til you're blue in the face that you know best what a woman in Kate's situation would have done and should have done, I'll now leave you to it - enjoy!
ETA: One further thought before I leave you to your pointless argument - you claim I am reading far too much into what you have posted but I would just like to point out that this is disingenuous claptrap. Your firm belief is that Kate staged an abduction and that therefore she would know full well that Madeleine couldn't possibly be at JT's apartment, hence pointless to rush round there. That being the case your "only asking questions" about why didn't Kate go straight round to JT's apartment when she found Madeleine missing is clearly yet another attempt by you to suggest Kate's guilt and involvement in a cover up. Deny it all you like, some of us are quite capable of seeing through your tactics.