This makes much more sense now; thank you!

My circles, centrist politics just mean "complex" case-by-case politics.

By this definition, most reasonable people are centrist. We are forced to pick a team to get the numbers but our positions can and do differ from the party line.

I think of far-centerist as extremely unideological. To me, ideologies are systematically organized collections of ideas, often hierarchically, with core ideas (or assumptions) given a paramount or supreme position. They almost all provide a certain level of insight and huge errors, because no system of ideas describes the world in a complete or fully accurate way. So, a far-centrist in my view is open to using ideas from whatever ideology, or some that associate with no ideology, for what they're worth.

If by far center, you mean unbiased, well, we're all biased to some degree. Actually it's very hard not to be quite biased in some way, whether ideologically or stylistically, or any of the more gross forms of bias most of us have to wrestle with, being human.

A bias scanner can be useful in identifying bias, but you can be ideological and non-biased, in which case, you're just using the bias scanner to reduce your bias. That's a good thing to do, but I'd call it, a kind of self-moderation, which might attenuate partisanship but for sure isn't necessarily centrist at all.