I think I have probably misinterpreted your words, but the proximity of the 80% appears to refer to correcting a measured resistance to a 70°C resistance.The 80% factor is a good estimate of copper resistance at 70C when remeasured at 20C. So it's not a tolerance.
The BS7671 tabulated values will have the conductor temperature stated, and it's often 70C. We tend to test and measure when a circuit is at room temperature and so we multiply by 0.8 to get an equivalent value.
Thanks - that's what I meant to say... it is the 70°C resistance that is multiplied by 0.8 to give an value close to the expected measured resistance at 20°C...