I feel this all is a category error. You're trying to introduce terms from morality ('fairness') into statistics. That, I'm pretty sure, is a bad idea. And the word 'bias' already has a well-defined meaning in stats.

If you want to introduce moral judgement into your results, first construct a good map, and then adjust it according to taste. At least then you have a better chance of seeing the trade-offs you're making.