Yeah I wouldn't read too much into any single study. But what I would defend vigorously is System1 / System2 distinction as something so clear/fundamental that you can see it constantly once you understand it.
Like, it was in all my cog psych textbooks more than twenty years ago, with cites back in the 80s (which weren't him).
This is my favourite paper of theirs: http://stats.org.uk/statistical-inference/TverskyKahneman197...
I got into a bunch of trouble with some reviewers of my thesis for referencing this repeatedly.
I don't know if there's a better text on dual-process theory out there (perhaps by the original authors), but regardless of who originated it, I think it's something worth learning about for everyone (and if you don't have a better source then Thinking Fast and Slow is a very good one).
https://journals.sagepub.com/doi/full/10.1177/17456916124606...
(that's a link to a defense of dual process theories, but it makes clear there's increasing criticism of them)
https://scottbarrykaufman.com/wp-content/uploads/2014/04/dua...
There's review paper coming from a more critical perspective in Psych Bulletin or Psych Review I was looking for, but I couldn't find it atm.