Earlier quoted context omitted.
There are ways of scoring forecasts that reward accurate-and-certain forecasts in a manner where it's provably optimal to provide the most accurate estimates for your (un)certainty as you can.
Yes, of course. I don't see that as very related to my point. For example, consider how 538 or The Economist predict elections. They might claim they'll use squared error or log score, but when it comes down to a big mistake, they'll blame it on factors outside their models.
(Of course, that's not as good as betting money.)