Wrong on both counts. Impartiality is a necessary and desirable trait for umpires (and similar roles). I want umpires, judges and escrow agents to be impartial even when they care about one of the parties.

Indifference is a valid preference to have for events that don't concern you. I'm indifferent to who wins the Super Bowl. That doesn't mean I know nothing about it. I simply have no reason whatsoever to care.

The Chesterson's quote is a pompous and elegant way of whining that people don't want to help you.