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Read Paul Frindle's explanations of this issue...a lot has to do with the interpolator in the DAC recovering resolution that is hard for people to imagine is encoded in the bits. People, confused by the poor waveform displays in their DAWs, don't understand how much an interpolator can do with very little information stored. As Dan Lavry says, you need only two points to determine every other point on a straight line.
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You are talking about something different. You are talking about frequency, I'm talking about amplitude resolution. Yes, given two sampled points, you can interpolate a curve between them. But if you are capturing sample points that are 8 times more strongly quantized, then the curve you are creating is between those more heavily quantized points. The Nyquist stuff only talks about recreation of the curve from the points, it doesn't have anything to do with how accurately the sample points are captured in terms of their amplitude.
If you take the same signal and capture it with 8 times fewer possible amplitude levels, then each sample point will have to be pushed further from the actual amplitude level because those are the only sample points you have to work with. So it's dynamic (amplitude) resolution that's I'm talking about here, not frequency.