Yes there there as many types of intelligence as there are types of problems. Emotional intelligence deals with emotional problems, social intelligence deals with social problems. This doesn’t conflict with my definition, it’s still problem solving.
Just because a being is intelligent does not mean it can solve all the problems of all kinds, it would require general intelligence, and even a generally intelligent being needs the right training… if you are trained wrong or trained for a different kind of problem that does not fit the current one then your current experience might actually get in the way, as you point out.
Yes, that’s what I meant 2 comments above by “fungus” (though to be fair, whether slime molds are fungi depends on your definition, they used to be classified as one, before “protist kingdom” was made up to mix protozoa, algae & molds, but I keep preferring the traditional autotroph / absorptive heterotroph / digestive heterotroph division).
I also mentioned ants who can find the optimal path by simply following scents left by other ants without understanding how this helps with that.
You can be intelligent without being aware of your intelligence, or you can be stupid without being aware of your stupidity… like how humans are actually creating problems for themselves in many cases.
Intelligence != awareness