No. It's a shorthand for contextual bias. The context is the tiny window of the statistic. When it's applied to a real world situation, ppl promote the 'unbiasedness' into a real situation that isn't constrained by it.
Bias cannot be avoided in any information, because it's always a position of what is relevant and in what presented order. The only unbiased thing is nature itself in its immediate instantaneous totality.