I think this is the part people forget too often about the "two system" theory written about in "Thinking Fast and Slow".

You can improve your System 1 responses, and there's a decent amount of the book that talks about all the ways System 2 post-hoc justifies the System 1 response, so it's not like System 2 is always going to be better.

Having a good System 1 response is a much clearer way to arrive at a solid decision than only hoping your System 2 is going to catch all of your biases.

Not trying to train your System 1 is, in my opinion, lazy. There are no "fast" or "slow" thinkers (we're all both), just people who have trained their System 1 and people who don't take the time (people with disorders notwithstanding).