I’m not sure that’s an accurate summary. The correlation of the perceived ability is effectively the slope of the line, and the slope is more or less constant. The paper suggests that the bias of the bottom quartile is higher than the bias of the upper quartile, not that the correlation is any different.
But it’s strange that the DK paper makes an example of the lower performers, since the bias of the scores appears to be constant; it appears the high performers have pretty much the same bias as the low performers — it’s a straightish line that goes through 65% in the middle rather than the expected straight line that goes through 50% in the middle. If the ‘high performers’ had a different bias, then the line wouldn’t be so straight.