I sort of lost faith in percentage guesses the night of the 2016 US elections when I watched the NYTimes prediction flip from >95% Clinton wins to >99% Trump wins in a matter of seconds.
It really opened my eyes to how illusory the utility of the percentage was - if it can flip that hard that fast, clearly it was never really only a <5% chance of happening, and the guesser really didn't know anything meaningful. It's astrology for the educated.