Centrists see themselves as imminently reasonable, sure. But virtually everyone believes "that different people see different parts of various problems and that solutions can come from people who aren't subscribed to a set political party." It's not a defining characteristic of centrists, it's a a defining characteristic of people who think of themselves as reasonable. IMO, the defining characteristic of centrists is that they think that they're the only reasonable ones and that everyone else is an ideologue.

At their worst, sure. At their best, it's someone who aspires to remain "centered" in their analysis, without letting it lead to arrogance over others.

That's not a centrist view, that's an independent view.

See! Even the definition of a centrist is political!