Yeah, I know that page but also both part alternatives are from MicroSataCables and this supplier does not tell the exact connector type on his side either.
As the connector model itself is not known, MicroSataCables is somehow monopolistic provider, if he fails to deliver, NUC board integrators cannot build systems any more. That's not a comfortable position to be in as integrator.
Just from the view, it seems that the connector type could be a "Molex PicoBlade" (see ). Can this confirm somebody?
For the fan: Is the pinout identical to the large 4-pin CPU fan connector, e.g. from ? As connector type in  is definitely much larger than the one on the NUC, which connector should be used for NUC boards? On the circuit board it looks very similar to the SATA-power connector, just a different color, is that right? Is it also a "Molex PicoBlade" from .
I disassembled the Intel® NUC and the SATA power connector looks just like the one from this picture. Actually, it fits into the fan header too.
It's a 100% confirm that SATA-power and fan plug are of identical type and according to you link very high probability that the initial Molex PicoBlade hypothesis was correct also.
I'll try to get the connectors and mark thread as "answered" when integration was really successful.