The measurement issue is relevant to explaining the inflation-unemployment experience in the current episode only if the bias has recently become more serious. An increase in measurement bias could be under way, perhaps related to an acceleration in technical change, but it will be a long time before we are able to establish this with a reasonable degree of certainty.
Note also that if the measurement bias has increased, this would imply that both actual and potential output growth are higher than reported, with no obvious implication for the gap between actual and potential output, and hence for inflation pressures.