Yes, I read about a similar experience with chess as well!
Intuition is very often based on experience and patterns we've analyzed like I also mentioned above.
But in some examples like the card experiment, it had more to do with our subconscious "realizing" something quicker than our conscious mind actually does.
Thank you for your input, and you're right, there's no standard rule as to listening to your gut or your brain. it totally depends on the situation!