Seeing blue lips seems to depend very much on who you are looking at, even among the best freedivers...
I'm a buddy for a good freediver, and he has blue lips only when he has done 180-200+ m DYN, 140+ m DNF , 60+ m CWT or 7:15+ STA. In dynamics diving time is then over 3:15 min. These are performances with no-warm-ups. He doesn't hyperventilate, but packs quite a lot for maxs. I've never noticed that he has had blue ears or neck. His lips seems to get dark blue near his limits just before he would get samba. He rarely gets samba and "never" BOs, because he gets so clear "last warnings" before samba or BO.
In his case blue lips after a long or deep dive always mean - as far as I have noticed -that he has been near his limits.
When I ask him "Was it thigt at the end?",
His answer is "Maybe a little", if he has blue lips.
If he has some blue color in his face too, his answer is "It was too tight, I should have stopped just a little earlier or be more relaxed".
If he has no blue in his lips, his answer is "No, it was quite easy", even if 150+ m DYN, 125+ DNF or 7:00+ STA.
I always look his lips and face when he comes to surface, and so I know his answer before he tells me.
But if he does some warm ups or CO2 swimming, it can be different with the blue color. But with no-warm-up-max dives it has been so accurate sign with him.
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Some more about seeing blue lips, a little OT
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Because we have here in Northern Europe often cold water in lakes even in summertime, it's very common to see at a beach children with blue lips when they have played or swimmed a long time in a lake. A long time means here about 20 mins, if water is under 22 C. They have no wetsuits, or hypoxia, you can be sure
Then they go, if possible, to a 60-100 C degree sauna, and their skin and lips get very, very red again
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If you go here in winter time to ice swimming into the hole in the ice in a lake or sea, wearing only a swimming suit and neopren shoes (this is with a hot sauna a very common and healthy hobby here!) ,you normally don't get blue lips if your are "the normal" 5-15 seconds in a 0 C degree water. If you are longer, you maybe get, probly it depends on person... I have tested only that normal 5-15 seconds there, cause I´m not adapted enough to ice COLD water - without a 5 mm wetsuit, I mean
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Maybe some of THEM have blue lips:
(Notice: People have no hurry to go inside, because they enjoy some fresh air (which is below the freezing point). There is a machine making air bubbles underwater to keep the hole unfrozen.)
But you rarely see here in wintertime children or adults with blue lips, when they are normally outside with clothes even at -20- -35 C degrees, because their body is warm, though their face may be very cold. In fact your ears get white (or red!) if their get cold when you are in very cold air. I've never seen blue ears, neck or face in winter, it would sound a very dangerous situation:blackeye in these circumstances, I think. Cold and sometimes a little blue hands are common, when it's cold, but I varies very much. But nowadays it's not often very cold here anymore, -2 - + 2 C is now most usual in wintertime. We have really notice the climate change already here in the North...
Lakes and the sea have an ice covering ONLY from Dec/Jan to Apr/May, not anymore over half an year. And that's very strange, indeed