> Also, the only reason you find boolean operators and normal arithmetic operators easy to understand intuitively is due to exposure.

I'm not so sure about this. A small child can easily understand "this candy AND that candy" vs "this candy OR that candy".

I don't see how any amount of explication will make a small child understand intuitively a Hadamard rotation.

I think you're right, but I also think that part of that exposure involves our use of AND in natural language. We don't have many quantum phenomena or analogies that directly affect us (by that I mean, that we consciously notice and are familiar with) on a day to day basis. So in a way, it's still a problem of exposure. That's partly why I say that changing the name of the Hadamard operation won't really help people understand what is doing to a significantly greater extent: there's not an easy analogy or concise definition that we can use to intuitively understand it.

Really? In my experience most young children have a hard time grasping the concept this candy OR that candy. /s