I think maybe it's a dude who's being held captive, and he's tortured daily by a man with a map of human pressure points. He knows when the map comes out that he's in for it, so he casually says to the prisoner next to him, "tell ya what me old China plate - i don't like to see the map!" I think that pretty much sums up all the situations where an English speaking human might use that collection of words.
My mom is 83 but she doesn't like to wear her eyeglasses, even though she needs them desperately, so, when I take her out to eat, she never grabs a menu because she doesn't want me to tell her "see, mom, you can't read the menu, you need your glasses!!!!". Therefore she always says: "I don't like to see the menu"
I think in the context you describe we'd say 'I don't WANT (or NEED) to see the map'. The only scenario I can think of where a native English speaker would use this sentence is someone who likes to test themselves by relying on their sense of direction to find their destinations, or someone who has a phobia of maps - is there such a thing ? As with many Duo sentences, it probably doesn't help to analyse it too much !