Once you get into the dropout region the LDO starts to quiesce at a much higher current. Based on practical experience and observation this will happen around 3.6V. And the fact that it can take 16v, does not mean you should power it from 16V, in fact it's quite an unusual voltage, 12V is more common. So the 12V was more because I am trying to help people to save themselves from themselves.
The take away or TLDR; from this is:
When you walk 0m from the edge of the cliff, selfies are not a really great idea. If you walk 4m away from the cliff's edge, you can afford a selfie without too much worry.