GuccitheCat:
The other poster is correct. The timing of your interview doesn't have an impact on the timing for a decision on your candidacy unless it's a rolling application process such as for Columbia Business School.
Therefore, you are kind of beholden to the application timeline that is fairly public and consistent with past years. I would look towards past posts and information online for more clarity.
As for the other school, you can TRY to ask INSEAD for an expedited process but I seriously doubt they will grant it. They are going to basically tell you to respect their process, implying that they don't care about the process for one of their peer institutions. If they are flexible for you, they will have to be flexible for anyone else that asks.
You will have a much easier time asking the school to which you have been accepted for additional time.
Worst case scenario, you put down a deposit on the first school and see how INSEAD plays out.
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Admissionado