Hi SonicMaster,
Your PM didn't have any information about your profile, nationality, aspirations and career plans. So I searched on the public threads and found this. But you haven't shared those details here either. Which is why my inputs might seem too broad.
I attended Cambridge because I wanted a bigger university experience while being in a small class (we only had 104 students with very diverse backgrounds). I'm from India where the Cambridge University brand is very strong. My career objectives were met - complete career change from tech to finance. So, I'm quite happy with my decision.
I did not apply to INSEAD, so can't compare the two in terms of experience. But if you are looking for a strong 'MBA' brand (as opposed to univ brand) and an interest in consulting INSEAD is a solid choice.
One of my classmates (brilliant guy) had admits from INSEAD and Cambridge. He topped the class and now works at McKinsey.
Disclaimer: This was over a decade back, so you'd be better off checking with current students or recent alumni.