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Wrong. You normally fly at sea level saturation, you can saturate as deep as about 10 feet and still ascend to 8,000 feet. You can saturate as deep as about 20 feet and still ascend to the surface without staged decompression.It is a very bad idea to fly after full saturation at any depth which is why we have DO NOT FLY times following dives, to permit off gassing to reduce the residual nitrogen load to well below the saturation point.
You are kicking up silt, you need to stop and pay attention. Saturation means, as you posted, "containing the maximum amount of solute capable of being dissolved under given conditions." When you change the conditions, e.g., the ambient pressure, you change the amount of solute (nitrogen in this case) that is capable of being dissolved. If you saturate at a greater depth, you hold a proportionally greater amount of nitrogen. There is a depth at which the amount of nitrogen you are carrying will prevent you from safety ascending to 8,000 feet. As you saturate deeper and deeper your ceiling also descends. A bit beyond 20 feet you can no longer go to the surface without decompressing, At 40 odd feet (using air) you'll need (if memory serves) about 17 hours of decompression, at 160 you'll need about 50 hours (but that's heliox also). The advantage of saturation is that you don't take up more gas, no matter how long you stay, you only have to pay the decompression bill one.I believe we also need to define terms as I believe saturation is being misused here. Definition from Dictionary.com, "containing the maximum amount of solute capable of being dissolved under given conditions."
NOT THE EXPERT, but I do believe at 1 ATA our tissues and blood are well below the saturation point in terms of nitrogen loading. With each breath we inhale 78% nitrogen and at 1 ATA we lack sufficient pressure differential to cause it to cross over into our blood and be retained there. Ergo non-divers are not any where near reaching their saturation point. Now with an increase in elevation and the decrease in pressure it is true that some off gassing of nitrogen will occur (nitrogen is in our blood from chemical processes of the body. Note that 10,000 feet in elevation (airliners are pressurized to 7,000-8,000 feet elevation) results in only 31% reduction in pressure from 14.7 PSI to 10.2 PSI