I went to my dealership but couldn't get the noise to reproduce itself. The engine was too warm I think... So I took this video of the noise I'm describing. Today the noise was pretty tame in comparison to days passed, but i think you'll still be able to get the idea.
Also, the tech at the dealership said he has never heard of a water pump whining on cold start in a JGC.
Any more thoughts on what it could be? Or should I strongly push the water pump theory??
Thanks in advance.
2012 Jeep Whistle Noise - YouTube